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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2008.
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| Edición: | 1st ed. 2008. |
| Colección: | Operator Theory: Advances and Applications,
185 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.