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Lectures on Analytic Function Spaces and Their Applications

Lectures on Analytic Function Spaces and Their Applications

Hardcover

Series: Fields Institute Monographs, Book 39

General Mathematics

ISBN10: 3031335716
ISBN13: 9783031335716
Publisher: Springer
Published: Oct 14 2023
Pages: 416
Weight: 1.72
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English
The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins--the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)--have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains.

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General Mathematics