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#Harmonic Function

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University of Chicago Department of Mathematics

Generalizations of the Bernstein Problem

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Dive into Otis Chodosh's exploration of the Bernstein Problem's generalizations, examining minimal surface equations and their connections to higher dimensions.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Hardy Spaces - Part 3

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Explore Hardy spaces with a focus on rotation, generalization, and approximate identities. Delve into uniform boundedness, Poisson PR constructions, and harmonic functions.
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11 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Inverse Problems and the Anisotropic Calderón Conjecture

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Explore geometric inverse problems, focusing on the Calderon Problem and its anisotropic variant. Learn about harmonic functions, complex geometric optics, and wave equation properties in this advanced mathematics lecture.
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14 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Henrik Shahgholian - Free Boundaries on Lattice, and Their Scaling Limits

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Explore lattice-based potential theory, examining harmonic functions and free boundary problems. Discover intriguing numerical results and their implications for facet formation in scaling limits.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Steve Brunton

Complex Analysis - Analytic Functions Solve Laplace's Equation

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Explore how analytic complex functions' real and imaginary parts solve Laplace's equation, introducing harmonic functions in this in-depth mathematical analysis.
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1 Lesons
41 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 3

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Explore random walks on groups, their properties, and applications in mathematics and probability theory. Learn key concepts and techniques for analyzing group-based stochastic processes.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Fields Institute

Connections Between Geometry and Partial Differential Equations

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Explore the fascinating interplay between geometric structures and partial differential equations, uncovering deep mathematical insights and applications.
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1 Lesons
43 minutes
On-Demand
Free-Video
HyperComplex Seminar

Monogenic Functions in Infinite-Dimensional Vector Spaces with Commutative Multiplication and Harmonic Vectors

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Explore monogenic functions in infinite-dimensional vector spaces, their relation to spatial harmonic functions, and implications for complex analysis beyond traditional Cauchy integral formulas.
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1 Lesons
49 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

The Laplace Equation: Dirichlet and Neumann Boundary Conditions - Lecture 67

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Explore Dirichlet and Neumann boundary conditions for the Laplace Equation, enhancing understanding of partial differential equations and their applications.
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1 Lesons
29 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
Hausdorff Center for Mathematics

Bounds on the Hausdorff Measure of Zero Sets of Steklov Eigenfunctions

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Explore upper bounds on Hausdorff measure of Steklov eigenfunction zero sets, comparing with Laplace eigenfunctions and discussing recent breakthroughs in this mathematical domain.
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16 Lesons
31 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Boundary Unique Continuation and the Estimate of the Singular Set

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Explore boundary unique continuation for harmonic functions and its application in estimating singular sets of elliptic PDEs. Gain insights into local growth rates and their global implications in mathematical analysis.
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1 Lesons
49 minutes
On-Demand
Free-Video
Schmid College, Chapman University

Shift Operators on Harmonic Hilbert Function Spaces on Real Unit Ball

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Explore shift operators on harmonic function spaces, their properties, and applications in reproducing kernel Hilbert spaces. Discover new identities and inequalities in harmonic analysis.
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1 Lesons
50 minutes
On-Demand
Free-Video
GDC

Math for Game Programmers - Harmonic Functions and Mean-Value

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Explore harmonic functions and mean-value parameterizations for procedural geometry in game development, with applications in mesh manipulation and UV generation.
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22 Lesons
30 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Nonsmooth Boundary Value Problems

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Explore nonsmooth boundary value problems in complex function theory, covering BMO functions, Hilbert transforms, and solvability in bounded domains. Insights into open problems and recent developments.
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28 Lesons
46 minutes
On-Demand
Free-Video
One Man And His Songs

Harmonic Function and Cadence in Music Theory

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Explore fundamental concepts of harmonic function and cadence in music theory, understanding how chords work together to create musical resolution and progression.
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1 Lesons
17 minutes
On-Demand
Free-Video
Institute for Advanced Study

Computing Poisson Boundaries without Moment Conditions

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Delve into advanced group theory concepts, focusing on Poisson boundaries and random walks without moment conditions, exploring applications in acylindrically hyperbolic groups and wreath products.
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1 Lesons
46 minutes
On-Demand
Free-Video