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#Fourier Analysis

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Steve Brunton

Data-Driven Science and Engineering

1 rewiews
Explora técnicas avanzadas de aprendizaje automático, sistemas dinámicos y control con ejemplos prácticos en Matlab y Python, basados en el libro "Data-Driven Science and Engineering" de Brunton y Kutz.
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98 Lesons
20 hours
On-Demand
Free-Video
University of Washington

Engineering Mathematics

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Explora matemáticas avanzadas en ingeniería mecánica, desde ODEs y sistemas dinámicos hasta transformadas de Fourier y Laplace, con aplicaciones prácticas en Matlab y análisis de sistemas no lineales.
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59 Lesons
1 day 23 hours
On-Demand
Free-Video
NPTEL

Signals and Systems

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This course is a study of signals and systems, covering topics: formal definition of 'signal' and 'system', continuous and discrete signals, continuous and discrete-time systems, Linear Time-Invariant (LTI) systems, representation of continuous and discr…
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45 Lesons
1 day 13 hours
On-Demand
Free-Video
NPTEL

Principles of Signals and Systems

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This course introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication and control systems. Hence, a sound understanding of these principles is necessar…
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76 Lesons
1 day 10 hours
On-Demand
Free-Video
University of Central Florida

Visual Analysis of Extremely Dense Crowded Scenes

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Analyzing dense crowd scenes using computer vision techniques for counting, detecting, and tracking individuals. Explores multiple data sources, context, and neighborhood motion to address challenges in extremely crowded environments.
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46 Lesons
51 minutes
On-Demand
Free-Video

Gaussian Integral

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Explore 12 diverse methods to solve the Gaussian Integral, from polar coordinates to complex analysis, enhancing your mathematical problem-solving skills and deepening your understanding.
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17 Lesons
3 hours 30 minutes
On-Demand
Free-Video
Steve Brunton

Fourier Analysis

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Comprehensive exploration of Fourier analysis, covering series, transforms, and applications. Includes practical implementations in MATLAB and Python for signal processing, PDEs, and image compression.
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39 Lesons
8 hours
On-Demand
Free-Video
Steve Brunton

Linear Algebra

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Comprehensive exploration of linear algebra concepts, including SVD, Fourier analysis, and compressed sensing, with practical applications and coding examples in MATLAB and Python.
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105 Lesons
19 hours
On-Demand
Free-Video
Simons Institute

Mitigating Backdoors in Machine Learning Models - Security and Defense Strategies

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Explore techniques for defending against undetectable backdoors in machine learning systems through black-box mitigation strategies, focusing on binary classification and regression models.
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1 Lesons
54 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 3

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Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.
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11 Lesons
1 hour 41 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Fourier Summation Formulas and Quasicrystals - Part 1

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Explore Fourier summation formulas and quasicrystals in this advanced mathematics seminar. Gain insights into complex mathematical concepts and their applications.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Multiplayer Parallel Repetition for Three-Player Games on Binary Inputs

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Explorez la répétition parallèle dans les jeux multijoueurs, en mettant l'accent sur les jeux à trois joueurs avec entrées binaires. Découvrez les dernières avancées et techniques d'analyse.
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17 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Hans Feichtinger- Fourier Analysis via the Banach Gelfand Triple

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Explore Gabor analysis foundations using MATLAB, focusing on finite Abelian groups and matrix analysis methods. Learn to apply abstract harmonic analysis concepts to signal processing problems.
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20 Lesons
59 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Endpoint Fourier Restriction and Unrectifiability

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Explore endpoint Fourier restriction and its connection to measure unrectifiability in R^d, featuring a dichotomy between absolute continuity and 1-pure unrectifiability.
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8 Lesons
29 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Betsy Stovall- Fourier Restriction to the Sphere Is Extremizable More Often Than Not

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Explore Fourier restriction to the sphere, focusing on extremizers and their prevalence. Delve into proofs, key limits, and spatial decomposition in this mathematical analysis.
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6 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Terence Tao- The Circle Method from the Perspective of Higher Order Fourier Analysis

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Explore higher order Fourier analysis and its application to the circle method, offering new perspectives on multilinear averages and complex mathematical problems.
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23 Lesons
1 hour 1 minute
On-Demand
Free-Video
Hausdorff Center for Mathematics

Jonathan Hickman: The Helical Maximal Function

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Explore the helical maximal function in R3, its Lp boundedness, and related Fourier analytic tools. Gain insights into space curves and geometric measure theory.
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12 Lesons
51 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Ciprian Demeter - Restriction of Exponential Sums to Hypersurfaces

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Explore exponential sums on hypersurfaces, focusing on sharp moment inequalities and scale-independent results. Gain insights into critical exponents and Hardy-Littlewood lemmas.
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17 Lesons
59 minutes
On-Demand
Free-Video
International Mathematical Union

Weighted Fourier Extension Estimates and Applications

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Explore weighted Fourier extension estimates and their applications in PDEs and geometric measure theory, covering topics like Fourier restriction, SME, and Falconer's distance set problem.
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8 Lesons
43 minutes
On-Demand
Free-Video
Ryan O'Donnell

Ryan O'Donnell Tutorial on Hardness of Approximation - Part 3

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Explore advanced concepts in approximation algorithms, focusing on Max 3-Lin, Fourier analysis, and edge weights in optimization problems.
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13 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Ryan O'Donnell

Fourier Analysis of Boolean Functions - Lecture 8a of CS Theory Toolkit

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Explore Fourier analysis of Boolean functions, focusing on real-valued functions and their Fourier transforms in this graduate-level theoretical computer science lecture.
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5 Lesons
32 minutes
On-Demand
Free-Video
TheIACR

LadderLeak

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Explore ECDSA and Schnorr signatures, focusing on randomness vulnerabilities and side-channel attacks. Learn about new attack records and countermeasures in cryptographic implementations.
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31 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Fourier Interpolation

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Explore Fourier uniqueness and interpolation pairs, examining recent progress in explicit constructions and existence results for reconstructing functions from restricted data sets.
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1 Lesons
56 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Restriction Problem and the Polynomial Method - Lecture 2

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Explore Stein's restriction conjecture, Kakeya conjecture, and polynomial method in harmonic analysis. Understand wave packet decomposition and intersection of tubes in Fourier analysis.
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1 Lesons
58 minutes
On-Demand
Free-Video
Fields Institute

Fourier Uniqueness and Non-Uniqueness Pairs

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Explore Fourier uniqueness and non-uniqueness pairs in this advanced mathematics lecture, delving into complex analysis and function spaces.
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1 Lesons
55 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Extremizers for Fourier Restriction onto the Moment Curve

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Explore Fourier restriction/extension operators for moment curves, focusing on functions that maximize operator norms in Lebesgue spaces. Recent findings with Betsy Stovall discussed.
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1 Lesons
30 minutes
On-Demand
Free-Video
International Mathematical Union

Larry Guth- Decoupling Estimates in Fourier Analysis

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Explore recent developments in decoupling, a Fourier analysis technique with applications in harmonic analysis, PDE, and number theory. Survey key applications and proof concepts.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Simons Institute

Fourier Growth of XOR-Fibers of Communication Protocols

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Explores Fourier growth bounds for XOR-fibers of randomized protocols, presenting improved results and discussing applications in communication complexity and quantum-classical separations.
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1 Lesons
53 minutes
On-Demand
Free-Video
Simons Institute

Sign-Rank vs Margin

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Exploring the relationship between sign-rank and margin in boolean matrices, with applications in communication complexity and machine learning. Discusses key questions and provides negative answers using various mathematical tools.
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1 Lesons
58 minutes
On-Demand
Free-Video
Simons Institute

Random Restrictions and Fourier Concentration - Part 2

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Explore advanced concepts in Fourier analysis and random restrictions, focusing on their applications in theoretical computer science and mathematical analysis.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Institute

Random Restrictions and Fourier Concentration - Part 1

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Explore random restrictions and Fourier concentration in analysis and theoretical computer science with MIT researcher Esty Kelman.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Sharp Fourier Restriction Theory Over Finite Fields

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Explore recent developments in sharp Fourier restriction theory over finite fields, examining the intersection of two key areas in mathematical research.
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1 Lesons
52 minutes
On-Demand
Free-Video
Institute for Advanced Study

Insights into the Geometric Harmonic Analysis Associated to 1-Parameter Sets

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Explore geometric harmonic analysis of 1-parameter sets with insights from D. Dominique Kemp's research at the Institute for Advanced Study.
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1 Lesons
22 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Music Applications of Fourier Analysis

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Explore Fourier analysis applications in music, covering signal processing techniques for audio analysis, synthesis, and music information retrieval. Gain insights into the intersection of mathematics and music.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Serrano.Academy

The Discrete Fourier Transform - Fundamentals and Applications

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Explore the Discrete Fourier Transform, its inverse, formula, and matrix form in this concise tutorial, gaining insights into signal processing and frequency analysis.
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6 Lesons
17 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Orthogonality of Signals - Lecture 10

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Explore orthogonality of signals, a fundamental concept in signal processing and communication systems. Gain insights into its applications and importance.
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1 Lesons
16 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On the Fourier Weight of F2 Polynomials

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Explore Fourier weight of F2 polynomials, focusing on level k and degree d relationships. Gain insights into pseudorandom generators and recent mathematical proofs.
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1 Lesons
36 minutes
On-Demand
Free-Video
Banach Center

Sharp Restriction Theory - Part 1

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Explore advanced concepts in sharp restriction theory, focusing on key principles and applications in mathematical analysis.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Time and Band Limiting for Exceptional Orthogonal Polynomials

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Explore time-and-band limiting in exceptional orthogonal polynomials, connecting integral operators, differential equations, and bispectral problems. Uncover links to KdV equations and random matrix theory.
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1 Lesons
57 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

David Uminsky - LatMath 2022 - IPAM's Latinx in the Mathematical Sciences Conference

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Explore mathematical applications in data science, including topological analysis and Fourier transforms, with insights on research initiatives and educational approaches.
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22 Lesons
54 minutes
On-Demand
Free-Video
Simons Institute

Remarks on the Discrete Cube

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Explore probability theory on the discrete cube, covering Fourier analysis, Poisson inequality, and random walks, with applications in high-dimensional geometry and computation.
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7 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Alexander Volberg: The Probability of Buffon Needle to Land Near Cantor Set

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Explore the probability of Buffon's needle landing near Cantor sets, delving into unexpected connections with various mathematical fields and theories.
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13 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Sums in Progressions to Squarefree Moduli Among Polynomials Over a Finite Field

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Explore polynomial sums in progressions to squarefree moduli over finite fields, covering Fourier analysis, polynomial anatomy, and arithmetic functions.
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12 Lesons
58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Restriction Problem and the Polynomial Method - Lecture I

0 rewiews
Explore Stein's restriction conjecture, the Kakeya conjecture, and the polynomial method in harmonic analysis. Learn about wave packet decomposition and its applications in studying hypersurface-supported functions.
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17 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms

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Explore the Riemann zeta-function, Fourier analysis, and quadratic forms in number theory. Delve into Selberg's theorem, Berry's conjecture, and representation of integers by quadratic forms.
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9 Lesons
49 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Nikodym Sets and Maximal Functions Associated with Spheres - Lecture 1

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Explore advanced harmonic analysis concepts: Nikodym sets and maximal functions associated with spheres. Gain insights from expert Jongchon Kim in this comprehensive lecture.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Nikodym Sets and Maximal Functions Associated with Spheres - Lecture 2

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Explores advanced concepts in harmonic analysis, focusing on Nikodym sets and maximal functions related to spheres. Builds on previous lecture, deepening understanding of these mathematical structures.
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1 Lesons
37 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Sharp Fourier Restriction onto the Parabola and the Cubic Monomial - Lecture 1

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Explore sharp Fourier restriction estimates for parabola and cubic monomial curves, advancing understanding in harmonic analysis and algebraic geometry applications.
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1 Lesons
59 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Sharp Fourier Restriction onto the Parabola and the Cubic Monomial - Lecture 2

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Explores sharp Fourier restriction estimates for parabola and cubic monomial curves, advancing understanding of harmonic analysis and polynomial methods in mathematical research.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
ICTP Mathematics

The Variance of a General Class of Multiplicative Functions in Short Intervals

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Explore the variance of multiplicative functions in short intervals, applying Fourier analysis and rational point counting to derive asymptotic estimates for k-free numbers and other functions.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Distance Problems and Their Many Variants - Lecture 2

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Explores distance problems in harmonic analysis, focusing on variants and recent developments. Discusses polynomial methods and discrete approaches, offering insights for researchers in the field.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Nikodym Sets and Maximal Functions Associated with Spheres - Lecture 2

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Explores advanced concepts in harmonic analysis, focusing on Nikodym sets and maximal functions related to spheres. Builds on recent developments in the field.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

How Much Math Do You Need to Know to Solve an Initial Value Problem - SIAM PDE Seminar

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Explore mathematical techniques for solving nonlinear Schrödinger equations, from harmonic analysis to dynamical systems, focusing on long-time dynamics and energy transfer in initial value problems.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Fourier Analysis of Equivariant Quantum Cohomology II - 1-27-2024

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Explore advanced concepts in Fourier analysis and equivariant quantum cohomology, building on previous research in homological mirror symmetry and mathematical physics.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Fourier Analysis of Equivariant Quantum Cohomology - Part I

0 rewiews
Explore Teleman's conjecture, equivariant quantum cohomology, and Fourier spectral analysis in symplectic geometry. Gain insights into D-module decomposition for projective bundles and blowups.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Towards a Formalized Proof of Carleson's Theorem

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Explores formalizing Carleson's theorem on Fourier series convergence, discussing its significance, challenges, and recent generalizations in metric spaces using the Lean theorem prover.
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1 Lesons
39 minutes
On-Demand
Free-Video
IMSA

Fourier Uniformity of Multiplicative Functions

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Explore Fourier uniformity of multiplicative functions, its connection to prime number distribution, and related conjectures like Chowla and Sarnak in this advanced mathematics lecture.
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1 Lesons
57 minutes
On-Demand
Free-Video
Galileo Galilei Institute

A Summary of Methods for Solving Differential Equations Involving Automorphic Forms

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Explore advanced techniques for solving differential equations with automorphic forms, enhancing mathematical problem-solving skills in complex analysis and number theory.
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1 Lesons
1 hour
On-Demand
Free-Video
NPTEL-NOC IITM

Introduction to Green's Function: 2-D Example - Evaluating Constants - Part 1

0 rewiews
Explore Green's Function in 2D, focusing on evaluating constants. Learn key concepts and techniques for solving complex mathematical problems.
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1 Lesons
17 minutes
On-Demand
Free-Video
Institute for Advanced Study

Microlocalization and General Linear Combinations

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Explore advanced mathematical concepts of microlocalization and general linear combinations in this concise talk by Bradley Dirks from the Institute for Advanced Study.
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1 Lesons
16 minutes
On-Demand
Free-Video
Banach Center

Singular Integrals - Classical and Dunkl Setting

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Explore singular integrals in classical and Dunkl contexts, gaining insights into advanced mathematical concepts and their applications in analysis.
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1 Lesons
46 minutes
On-Demand
Free-Video
Banach Center

A Gentle Introduction to Hardy Spaces

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Explore Hardy spaces through a gentle introduction, covering fundamental concepts and applications in complex analysis and functional theory.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Method of Gauge Transform II

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Explorez la méthode de transformation de jauge et son application aux problèmes spectraux périodiques et ergodiques avec Jeffrey Galkowski.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Method of Gauge Transform - Periodic and Ergodic Spectral Problems

0 rewiews
Explorez la méthode de transformation de jauge et ses applications dans les problèmes spectraux, en mettant l'accent sur les aspects mathématiques avancés et les techniques analytiques.
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20 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Geometric Analysis of Phase Retrieval

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Explore geometric analysis of phase retrieval, examining nonconvex heuristics and proving benign geometric structure for efficient signal recovery using iterative optimization methods.
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1 Lesons
52 minutes
On-Demand
Free-Video
Banach Center

The 1950s: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 4

0 rewiews
Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact.
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1 Lesons
1 hour
On-Demand
Free-Video
Banach Center

The 1950s: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 3

0 rewiews
Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Banach Center

The 1950's: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 1

0 rewiews
Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on key developments and their impact on modern mathematics.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Banach Center

The 1950's: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 2

0 rewiews
Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact on mathematics.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 3

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Explore advanced techniques for establishing uniform bounds in multilinear singular integrals, building on previous discussions and delving into complex mathematical concepts.
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1 Lesons
47 minutes
On-Demand
Free-Video
Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 4

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Explore advanced mathematical concepts in multilinear singular integrals, focusing on uniform bounds and their applications in complex analysis and harmonic analysis.
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1 Lesons
59 minutes
On-Demand
Free-Video
Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 1

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Explore uniform bounds for multilinear singular integrals with Olli Saari, delving into advanced mathematical concepts and their applications in analysis.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Banach Center

Maximal Singular Averages - Part 3

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Explore advanced concepts in maximal singular averages, delving into complex mathematical theories and applications in functional analysis.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Banach Center

Maximal Singular Averages - Part 4

0 rewiews
Explore advanced concepts in maximal singular averages, delving into complex mathematical theories and applications in functional analysis.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Banach Center

Maximal Singular Averages - Part 2

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Explore advanced concepts in maximal singular averages, building on previous knowledge and delving into complex mathematical theories and applications.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Banach Center

Maximal Singular Averages - Part 1

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Explore maximal singular averages with David Beltran from University of Valencia, delving into advanced mathematical concepts and their applications.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Banach Center

Bourgain's Proof of the Circular Maximal Function Theorem - Part 3

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Explore Bourgain's groundbreaking proof of the circular maximal function theorem, delving into advanced mathematical concepts and techniques.
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1 Lesons
48 minutes
On-Demand
Free-Video
Banach Center

Bourgain's Proof of the Circular Maximal Function Theorem - Part 4

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Explore Bourgain's groundbreaking proof of the circular maximal function theorem in this advanced mathematical lecture by Jonathan Hickman.
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1 Lesons
53 minutes
On-Demand
Free-Video
Banach Center

Bourgain's Proof of the Circular Maximal Function Theorem - Part 2

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Explore Bourgain's groundbreaking proof of the circular maximal function theorem, delving into advanced mathematical concepts and techniques.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Banach Center

Bourgain's Proof of the Circular Maximal Function Theorem - Part 1

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Explore Bourgain's groundbreaking proof of the circular maximal function theorem, delving into its mathematical intricacies and significance in harmonic analysis.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 3

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Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 4

0 rewiews
Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 2

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Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Banach Center

Sharp Restriction Theory - Part 3

0 rewiews
Explore advanced concepts in sharp restriction theory, delving into complex mathematical principles and their applications in functional analysis.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Banach Center

Sharp Restriction Theory - Part 2

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Explore advanced concepts in sharp restriction theory, delving into mathematical intricacies and applications with expert guidance from Diogo Oliveira e Silva.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Banach Center

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 3

0 rewiews
Explore advanced concepts in spectral multipliers and wave equations for sub-Laplacians, focusing on cutting-edge mathematical research and applications.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Basic Lectures on Bethe Ansatz - Pedagogical Lecture 2

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Comprehensive lecture on Bethe Ansatz, covering integrable models, spin excitations, prethermalization, and algebraic approaches. Explores key equations, Fourier space, and the 6-vertex model for advanced physics students.
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15 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Let's Code Physics

Building Wave Functions with Fourier - Computational Quantum Mechanics Lecture 5

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Learn to construct and deconstruct wave functions using Fourier's method in computational quantum mechanics. Visualize quantum behaviors through computer animations with VPython.
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1 Lesons
21 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Classical Verification of Quantum Learning

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Explore the verification framework enabling classical clients to reliably delegate learning tasks to quantum servers, focusing on parity learning and Fourier-sparse functions with mixture-of-superpositions examples.
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1 Lesons
28 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Parity vs. AC0 with Simple Quantum Preprocessing

0 rewiews
Delve into quantum computation theory exploring the limitations of QNC0 and AC0 circuits in computing parity functions, with insights into decision tree complexity and nonlocal channels.
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1 Lesons
31 minutes
On-Demand
Free-Video
Centre for Networked Intelligence, IISc

Coding Schemes for Input-Constrained Channels in Information Theory and Communication

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Explore coding schemes for binary input-constrained channels, focusing on RLL constraints, Reed-Muller codes, and error resilience in both stochastic and adversarial channel models.
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21 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Institute

PCPs and Global Hyper-contractivity - Lecture 1

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Explore advanced concepts in theoretical computer science, focusing on Probabilistically Checkable Proofs and global hyper-contractivity with expert Dor Minzer.
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1 Lesons
59 minutes
On-Demand
Free-Video
Simons Institute

PCPs and Global Hyper-contractivity - Lecture 1

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Explore advanced concepts in theoretical computer science, focusing on Probabilistically Checkable Proofs and global hyper-contractivity with expert Dor Minzer.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Institute

Hyper-contractivity in Analysis and Theoretical Computer Science - Introduction 3

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Explore hyper-contractivity in analysis and theoretical computer science, examining its applications and implications for advanced mathematical concepts.
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1 Lesons
1 hour 1 minute
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Free-Video
IEEE

Junta Correlation Is Testable

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Explore property testing, tolerant junta testing, and Fourier analysis in this theoretical computer science talk on testable junta correlation.
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13 Lesons
23 minutes
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Free-Video
Squid: Schools for Quantum Information Development

Influences of Fourier Completely Bounded Polynomials and Classical Simulation of Quantum Algorithms

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Delve into quantum query algorithms through new polynomial characterizations, exploring influential variables in Fourier completely bounded polynomials and their implications for classical simulations.
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1 Lesons
20 minutes
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Free-Video
HUJI Machine Learning Club

Manifold Denoising with Application to Electron Microscopy

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Discover advanced manifold denoising techniques for electron microscopy image processing, focusing on Fourier-like basis construction and filtering methods to enhance two-dimensional image collections through mathematical analysis.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Automatic Sequences from the Point of View of Higher Order Fourier Analysis

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Delve into advanced mathematical concepts exploring automatic sequences through higher order Fourier analysis, featuring insights on nilpotent structures and topological dynamics.
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1 Lesons
48 minutes
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Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Fluctuations in the Fourier Coefficient of Current in Periodically Driven Systems

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Explore probability current fluctuations in periodically driven stochastic systems, focusing on Fourier component statistics and cumulant generating function analysis.
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1 Lesons
35 minutes
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Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Weakly Turbulent Solution to the Schrödinger Equation on the 2D Torus with Potential

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Explore a smooth solution to the linear Schrödinger equation on a 2D torus, examining logarithmic H^1 Sobolev norm growth and infinite-time blowup using adapted CKSTT techniques.
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1 Lesons
30 minutes
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Free-Video