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An Introduction to Operators on the Hardy-Hilbert Space
- Editore:
SPRINGER NATURE
- Collana:
- Graduate Texts in Mathematics
- EAN:
9780387354187
- ISBN:
0387354182
- Pagine:
- 220
- Formato:
- Hardback
- Lingua:
- Inglese
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Descrizione An Introduction to Operators on the Hardy-Hilbert Space
The subject of this book is operator theory on the Hardy space H2, also called the Hardy-Hilbert space. This is a popular area, partially because the Hardy-Hilbert space is the most natural setting for operator theory. A reader who masters the material covered in this book will have acquired a firm foundation for the study of all spaces of analytic functions and of operators on them. The goal is to provide an elementary and engaging introduction to this subject that will be readable by everyone who has understood introductory courses in complex analysis and in functional analysis. The exposition, blending techniques from "soft" and "hard" analysis, is intended to be as clear and instructive as possible. Many of the proofs are very elegant.
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