Results 111 to 120 of about 187 (131)

Compactness and Berezin symbols

Acta Scientiarum Mathematicarum, 2012
International ...
Chalendar, Isabelle, Fricain, Emmanuel, Gürdal, M., Karaev, Mubariz   +3 more
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Berezin symbols and Borel summability

Quaestiones Mathematicae, 2017
We prove in terms of so-called Berezin symbols some theorems for Borel summability method for sequences and series of complex numbers. Namely, we characterize the Borel convergent sequences and series; prove regularity of Borel summability method, and prove a new Tauberian type theorem for Borel summability.Keywords: Borel summabiliy, Berezin symbol ...
Garayev, M.T., Gürdal, M
exaly   +6 more sources

Some results on Berezin symbols

Complex Variables, Theory and Application: An International Journal, 2005
The Berezin symbols are used in the description of Schatten–von Neumann classes σ p ...
MÜBARİZ T, KARAEV, SALTAN, Suna
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Some inequalities involving Berezin symbols of operator means and related questions

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020
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Bouzeffour, F., Saltan, S., Aktan, B., Garayev, M.   +3 more
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Symbols in Berezin quantization for representation operators

Russian Universities Reports. Mathematics, 2021
The basic notion of the Berezin quantization on a manifold M is a correspondence which to an operator A from a class assigns the pair of functions F and F^♮ defined on M. These functions are called covariant and contravariant symbols of A. We are interested in homogeneous space M=G/H and classes of operators related to the representation theory.
Vladimir F. Molchanov, Svetlana V. Tsykina   +1 more
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Toeplitz–Berezin-type symbols and solutions of some operator equations

Illinois Journal of Mathematics, 2023
The purpose of the authors is to seek invariant subspaces of some Toeplitz operators on the Dirichlet space (defined on the complex unit ball) in terms of Toeplitz-Berezin type symbols and they furnish necessary conditions for a subspace, of the Dirichlet space, to be invariant under the action of a Toeplitz operator.
Garayev, Mubariz, Guediri, Hocine, Sadraoui, Houcine   +2 more
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On the Berezin Symbol

Journal of Mathematical Sciences, 2003
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Berezin Symbols and Schatten--von Neumann Classes

Mathematical Notes, 2002
This paper deals with the description of the Schatten-von Neumann classes in terms of Berezin symbols. In terms of Berezin symbols, the author presents several criteria for operators to belong to the Schatten-von Neumann class \({\mathcal S}_p\). In particular, for functions of model operators, he gives a complete answer to a question posed by Nordgren
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Boundary Values of Berezin Symbols

1994
A functional Hilbert space is a collection H of complex-valued functions on some set S such that H is a Hilbert space with respect to the usual vector operations on functions and which has the property that point evaluations are continuous (i.e., for each z ∊ S, the map f → f (z) is a continuous linear functional on H).
Eric Nordgren, Peter Rosenthal
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Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus

American Journal of Mathematics, 1988
Let \(\Omega\) be a bounded symmetric (Cartan) domain in \({\mathbb{C}}^ n\) with \(dV\) normalized Lebesgue measure on \(\Omega\). Let \(H^ 2=H^ 2(\Omega,dV)\) denote the Bergman subspace of \(L^ 2(\Omega,dV)\) consisting of holomorphic functions and \(T_ f\) denote the Toeplitz operator on \(H^ 2\).
Berger, C. A., Coburn, L. A., Zhu, K. H.
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