Results 121 to 130 of about 375,843 (160)

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 ...
M Garayev, Mehmet Gürdal
exaly   +6 more sources

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.
openaire   +2 more sources

Inequalities for the Berezin number of operators and related questions

Complex Analysis and Operator Theory, 2021
M Garayev, Mohammad W Alomari
exaly   +3 more sources

Berezin–Toeplitz operators, Kodaira maps, and random sections

American Journal of Mathematics, 2022
: We study the zeros of sections of the form $T_k s_k$ of a large power $L^{\otimes k}\to M$ of a holomorphic positive Hermitian line bundle over a compact K\"ahler manifold $M$, where $s_k$ is a random holomorphic section of $L^{\otimes k}$ and $T_k$ is
Michele Ancona, Yohann Le Floch
semanticscholar   +1 more source

Compactness and Berezin symbols

Acta Scientiarum Mathematicarum, 2012
International ...
Chalendar, Isabelle, Fricain, Emmanuel, Gürdal, M., Karaev, Mubariz   +3 more
openaire   +3 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

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
openaire   +3 more sources

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
openaire   +1 more source

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

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
openaire   +1 more source