Advanced complex analysis problem book : topological vector spaces, functional analysis and Hilbert spaces of analytic functions.
This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of...
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham :
Birkhauser,
[2015]
|
| Subjects: |
| Summary: | This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied. |
|---|---|
| Physical Description: | ix, 521 pages ; 25 cm |
| Bibliography: | Includes blbliographical references and index. |
| ISBN: | 3319160583 9783319160580 |