Titlebook: Commutative Algebras of Toeplitz Operators on the Bergman Space; Nikolai L. Vasilevski Book 2008 Birkhäuser Basel 2008 Bergman space.Compl

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Book 2008 commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing their spectral type representations. This yields a powerful research tool giving direct access to the majority of the important properties of the To

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Prologue,not exceptional in this sense. It will be used systematically in the book and will be supplied with different adjectives clarifying its different meanings: Fredholm symbol, defining symbol, Wick symbol, anti-Wick symbol, etc. That is why we would like to comment first on its meanings and usage.

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Dynamics of Properties of Toeplitz Operators with Radial Symbols,ation procedure. For a fixed . the Toeplitz operator . acts on the weighted Bergman space ., where the parameter . characterizes the weight (10.1.5) on .. In the sequel we will consider another form of presentation of the weighted Bergman spaces, see (10.1.1), the space . which is parameterized by λ

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Dynamics of Properties of Toeplitz Operators on the Upper Half-Plane: Parabolic Case,ator . is obviously bounded on all spaces ., where λ∈(−1, ∞), and the corresponding norms are uniformly bounded by sup. |.|. That is, all spaces ., where λ∈(−1, ∞), are natural and appropriate for Toeplitz operators with . symbols. One of our aims is a systematic study of . symbols. To avoid unneces

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0255-0156 tors and semi-commutators of Toeplitz operators; the theory of Toeplitz and related operators with symbols having more than two limit values at boundary points; and a kind of semi-classical analysis of spectral978-3-7643-8726-6Series ISSN 0255-0156 Series E-ISSN 2296-4878

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Commutative Algebras of Toeplitz Operators on the Bergman Space

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