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1
Introduction
2
Critical points
3
Frostman shift
4
Inner functions
5
Decomposition of inner functions
6
Gauss curvature equation
7
Lukas theorem
8
Collins theorem
9
Roberts theorem
10
Comparison
11
Work in progress
12
Critical values
13
Inner functions have critical values
Description:
Explore the intricacies of Blaschke products and their critical points in this comprehensive lecture by Oleg Ivrii from Tel Aviv University. Delve into topics such as the Frostman shift, inner functions, and their decomposition. Examine the Gauss curvature equation, Lukas theorem, Collins theorem, and Roberts theorem. Investigate ongoing research in the field, including critical values and their relationship to inner functions. Gain valuable insights into this advanced mathematical concept as part of the Focus Program on Analytic Function Spaces and their Applications at the Fields Institute.

Describing Blaschke Products by Their Critical Points

Fields Institute
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