Results 51 to 60 of about 105 (95)
Applications of Berezin symbols in summability theory and related problems
FilomatIn this article, using the reproducing kernel and Berezin symbol techniques we prove that a sequence is Ces?ro convergent, then it is Abel convergent. We prove criteria for Borel convergence of some sequences and series of complex numbers. Also, we answer if the Berezin transform of a bounded operator on the Dirichlet space D and the Fock space F(C ...
YAMANCI, Ulaş +2 more
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Berezin symbols and some problems on the Dirichlet space
Indian Journal of Pure and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Berezin symbols and operator theory
, 2000 Let 'H' be a standard analytic functional Hilbert space over a bounded domain [Omega] ? C. We examine the Berezin symbols 'A~' of bounded operators A?BH and characterize the compact operators KH by Berezin symbol behavior. We show that A?KH iff the Berezin symbol of every unitary conjugate of 'A' is in 'C'0([Omega]) (Nordgren and Rosenthal, 1994 ...
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Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
Forum Mathematicum, 2012 We give in terms of Berezin symbols some characterizations for the operators belonging to the Schatten-von Neumann classes sigma(p), 0 < p < +infinity, which were motivated by the questions posed by Nordgren and Rosenthal [7]. Some other problems related with the multiplicative equality for Berezin symbols are also discussed.
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Berezin symbols of operators on the unit sphere of $\mathbb C^n$
, 2017 We describe the symbolic calculus of operators on the unit sphere in the complex n-space $\mathbb C^n$ defined by the Berezin quantization. In particular, we derive a explicit formula for the composition of Berezin symbol and with that a noncommutative star product. In the way is necessary introduce a holomorphic spaces which admit a reproducing kernel
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Some New Applications of Berezin Symbols
Complex Analysis and Operator Theory, 2023Let \(A\) be a bounded linear operator on a Hilbert space \(\mathcal{H}(\Omega)\) of complex-valued functions on \(\Omega\) with normalized reproducing kernel \(\widehat{k}_{\lambda}\), \(\lambda\in\Omega\). The Berezin symbol of \(A\) is defined as \(\widetilde{A}(\lambda) =\left\langle A\widehat{k}_{\lambda}, \widehat{k}_{\lambda}\right\rangle\) and ...
M T Garayev, Kallol Paul
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Berezin symbols and Borel summability
Quaestiones Mathematicae, 2017AbstractWe 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.
M T Garayev, M Gürdal
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Compactness and Berezin symbols
Acta Scientiarum Mathematicarum, 2012International ...
Chalendar, Isabelle +3 more
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Symbols in Berezin quantization for representation operators
Russian Universities Reports. Mathematics, 2021The 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 +1 more
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Some results on Berezin symbols
Complex Variables, Theory and Application: An International Journal, 2005The Berezin symbols are used in the description of Schatten–von Neumann classes σ p ...
MÜBARİZ T, KARAEV, SALTAN, Suna
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