Results 101 to 110 of about 189 (132)

Mutation analysis of TMC1 identifies four new mutations and suggests an additional deafness gene at loci DFNA36 and DFNB7/11. [PDF]

Clin Genet, 2008
Hilgert N, Alasti F, Dieltjens N, Pawlik B, Wollnik B, Uyguner O, Delmaghani S, Weil D, Petit C, Danis E, Yang T, Pandelia E, Petersen MB, Goossens D, Favero JD, Sanati MH, Smith RJ, Van Camp G.   +17 more
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Some New Applications of Berezin Symbols

Complex Analysis and Operator Theory, 2023
Let \(A\) 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
exaly   +3 more sources

Compactness and Berezin symbols

Acta Scientiarum Mathematicarum, 2012
International ...
M Gürdal
exaly   +4 more sources

Berezin symbols and Borel summability

Quaestiones Mathematicae, 2017
AbstractWe 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
exaly   +6 more sources

Some results on Berezin symbols

Complex Variables and Elliptic Equations, 2005
The Berezin symbols are used in the description of Schatten–von Neumann classes σ p ...
MÜBARİZ T, KARAEV, SALTAN, Suna
exaly   +4 more sources

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
openaire   +1 more source

On the Berezin Symbol

Journal of Mathematical Sciences, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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 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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