Lectures on Analytic Function Spaces and their Applications
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Lectures on Analytic Function Spaces and their Applications

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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...