Results 151 to 160 of about 374,962 (187)

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
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Compactness and Berezin symbols

Acta Scientiarum Mathematicarum, 2012
International ...
Chalendar, Isabelle, Fricain, Emmanuel, Gürdal, M., Karaev, Mubariz   +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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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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Coherent states on the unit ball of C n and asymptotic expansion of their associated covariant symbol

Asymptotic Analysis, 2020
Starting from a complete family for the unit sphere S n in the complex n-space C n (whose elements are coherent states attached to the Barut–Girardello space), we obtain an asymptotic expansion for the associated Berezin transform. The proof involves the
E. I. Díaz-Ortíz
semanticscholar   +1 more source

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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Analytic Berezin–Toeplitz operators

Mathematische Zeitschrift, 2019
We introduce new tools for analytic microlocal analysis on Kähler manifolds. As an application, we prove that the space of Berezin–Toeplitz operators with analytic contravariant symbol is an algebra.
L. Charles
semanticscholar   +1 more source

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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Berezin–Toeplitz Quantization and Invariant Symbolic Calculi

Letters in Mathematical Physics, 2003
The author describes a way to obtain, on bounded symmetric domains, all the G-invariant star products, which are equivalent to the Berezin-Toeplitz star-products. To quantize Kähler manifolds, the star product used is the Berezin-Toeplitz star product.
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