书目名称 | Function Spaces, Theory and Applications | 编辑 | Ilia Binder,Damir Kinzebulatov,Javad Mashreghi | 视频video | | 概述 | Consolidates over 250 hours of lectures by prominent mathematicians.Explains operators acting on Hilbert spaces, as well as their applications in other parts of mathematics and engineering.Broadens re | 丛书名称 | Fields Institute Communications | 图书封面 |  | 描述 | .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 also have several essential applications in other fields of mathematics and engineering, e.g., robust control engineering, signal and image processing, and theory of communication. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins, e.g. the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b), have also been the center of attention in the past two decades. Studying the Hilbert spaces of analytic functions and the operators acting on them, as well as their applications in other parts of mathematics or engineering were the main subjects of this program. During the program, the world leading experts on function spaces gathered and discussed the new achievements and future venues of research on analytic function spaces, their operators, and their | 出版日期 | Book 2023 | 关键词 | Functions Spaces; Model Spaces; Reproducing Kernels; Operator Theory; Bases | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-39270-2 | isbn_softcover | 978-3-031-39272-6 | isbn_ebook | 978-3-031-39270-2Series ISSN 1069-5265 Series E-ISSN 2194-1564 | issn_series | 1069-5265 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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