An 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...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2015.
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Έκδοση: | 1st ed. 2015. |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Prologue
- Part I, Analytic functions
- 1 Some algebra
- 2 Exercises in complex variables
- Part II, Topology and functional analysis
- 3 Topological spaces
- 4 Normed spaces
- 5 Locally convex topological vector spaces
- 6 Some functional analysis
- Part III, Hilbert spaces of analytic functions
- 7 Reproducing kernel Hilbert spaces
- 8 Hardy spaces
- 9 de Branges-Rovnyak spaces
- 10 Bergman spaces
- 11 Fock spaces
- Index
- Name index
- Notation index.