Commutative Algebras of Toeplitz Operators on the Bergman Space
This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing...
Κύριος συγγραφέας: | |
---|---|
Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Basel :
Birkhäuser Basel,
2008.
|
Σειρά: | Operator Theory: Advances and Applications ;
185 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Preliminaries
- Prologue
- Bergman and Poly-Bergman Spaces
- Bergman Type Spaces on the Unit Disk
- Toeplitz Operators with Commutative Symbol Algebras
- Toeplitz Operators on the Unit Disk with Radial Symbols
- Toeplitz Operators on the Upper Half-Plane with Homogeneous Symbols
- Anatomy of the Algebra Generated by Toeplitz Operators with Piece-wise continuous Symbols
- Commuting Toeplitz Operators and Hyperbolic Geometry
- Weighted Bergman Spaces
- Commutative Algebras of Toeplitz Operators
- Dynamics of Properties of Toeplitz Operators with Radial Symbols
- Dynamics of Properties of Toeplitz Operators on the Upper Half-Plane: Parabolic Case
- Dynamics of Properties of Toeplitz Operators on the Upper Half-Plane: Hyperbolic Case.