Lectures on Analytic Function Spaces and Their Applications
Lectures on Analytic Function Spaces and Their Applications
English | 2023 | ISBN: 3031335716 | 416 Pages | PDF EPUB (True) | 31 MB
English | 2023 | ISBN: 3031335716 | 416 Pages | PDF EPUB (True) | 31 MB
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.