Overview
- Contains courses led by experts on analytic function spaces, their operators, and their applications
- Maximizes insight into Dirichlet Spaces, Bergman Spaces, Model Spaces, & Operators on Function Spaces
- Broadens reader understanding of Hilbert spaces of analytic functions
Part of the book series: Fields Institute Monographs (FIM, volume 39)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. Moreexplicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions.
This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.
Editors and Affiliations
About the editor
Javad Mashreghi is a mathematician and author working in fields of function space theory, functional analysis and complex analysis. He is a professeur titulaire at Laval University and was recently the 35th President of the Canadian Mathematical Society (2020-2022). He is immensely involved in various aspects of North America's mathematical community, having served on numerous editorial, administrative and selection committees all across Canada and the U.S. (CMS, AMS, Fields Institute, CRM, AARMS, NSERC, FQRNT, NSF). He is the editor-in-chief of the Canadian Mathematical Bulletin (2020-2025) and Concrete Operators (2018-2022), and the Analysis Section Editor of the Proceedings of the American Mathematical Society (2020-2027). Among his awards and distinctions, there are the IEEE Prize Paper Award, 2021, the Fellow of the Canadian Mathematical Society, 2019, the Khwarizmi International Award, Research Prize of IROST, 2009, which he declined, the G. de B. Robinson Award, 2004. As for publications, he has more than 120 articles, 12 books (e.g., published by Cambridge, Oxford, AMS and Springer) and 10 conference proceedings.
Bibliographic Information
Book Title: Lectures on Analytic Function Spaces and their Applications
Editors: Javad Mashreghi
Series Title: Fields Institute Monographs
DOI: https://doi.org/10.1007/978-3-031-33572-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-33571-6Published: 14 October 2023
Softcover ISBN: 978-3-031-33574-7Due: 14 November 2023
eBook ISBN: 978-3-031-33572-3Published: 13 October 2023
Series ISSN: 1069-5273
Series E-ISSN: 2194-3079
Edition Number: 1
Number of Pages: XV, 416
Number of Illustrations: 8 b/w illustrations
Topics: Functions of a Complex Variable, Functional Analysis, Operator Theory, Several Complex Variables and Analytic Spaces