Commutative Algebras of Toeplitz Operators on the Bergman Space

515.724

Vasilevski, Nikolai L. Commutative Algebras of Toeplitz Operators on the Bergman Space by Nikolai L. Vasilevski. -
XXIX, 418 p. online resource. - (Operator Theory: Advances and Applications, 185) Content notes : 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. 9783764387266 * Operator theory. Functions of complex variables. Functional analysis. Operator Theory. Functions of a Complex Variable. Functional Analysis. * Series