Results 121 to 130 of about 257 (144)

Fixed Points of Poly-Berezin Transforms

Complex Analysis and Operator Theory, 2019
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Lijia Ding, Wei He
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Berezin Transforms and Group Representations

Journal of Lie Theory, 1998
This paper gives an amplification of some general constructions of the paper by \textit{A. Unterberger} and \textit{H. Upmeier} [Commun. Math. Phys. 164, 563-597 (1994; Zbl 0843.32019)], devoted to the proof of a remarkable Berezin's formula for eigenvalues of the Berezin transform for Hermitian symmetric spaces. See the paper by \textit{F. A. Berezin}
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Berezin transform of slice functions

Complex Variables and Elliptic Equations, 2016
In a recent paper, we introduced the Berezin transform of quaternionic linear operators and we obtained some properties in the setting of weighted Bergman spaces of slice hyperholomorphic functions. Here, we define the Berezin transform of slice functions, which corresponds to the case of a multiplication operator by certain quaternion-valued slice ...
Colombo, F., Gantner, J., Janssens, T.
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Asymptotic expansions of Berezin transforms

Indiana University Mathematics Journal, 2000
Let \(\Omega\) be an irreducible bounded symmetric (i.e. Cartan) domain in its Harish-Chandra realization, so that its Bergman kernel with respect to the normalized Lebesgue measure \(dm\) is equal to \(h(x,y)^ {-p}\), where \(h\) is the Jordan determinant and \(p\) the genus of \(\Omega\). For \(\nu>p-1\), the weighted Bergman spaces \(L^2_{\text{hol}}
Arazy, J., Ørsted, B.
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Berezin Transform in Clifford Analysis

AIP Conference Proceedings, 2008
In the weighted monogenic Bergman spaces A2(Bn,Ll0,n,dVα), the Berezin transform of a bounded continuous function f tends to itself pointwise as the parameter α tends to infinity. As a consequence, the norm of the Toeplitz operator ‖Tf(α)‖ tends to ‖f‖∞ as α tends to infinity.
Guangbin Ren, Liang Liu
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Regularity of the Berezin Transform on the Elementary Reinhardt Domains

Complex Analysis and Operator Theory
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Yang, Linhe, Zou, Qingyang
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Berezin transform on¶compact Hermitian symmetric spaces

manuscripta mathematica, 1998
\textit{A. Unterberger} and \textit{H. Upmeier} [Math. Commun. Phys. 164, 563-597 (1994; Zbl 0843.32019)] studied the Berezin transform on the irreducible noncompact Hermitian symmetric space \(D = G/K\) and obtained the spectral decomposition of the Berezin transform operator on \(L^2 (D)\) under the irreducible decomposition of \(L^2(D)\) into ...
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A sufficient condition for Lp regularity of the Berezin transform

Complex Variables and Elliptic Equations, 2023
Sönmez Sahutoglu, Nihat Gokhan Gögüs
exaly  

Berezin Transform and a Deformation Decomposition

2014
We present a new form for a deformation decomposition of the Berezin transform in polynomial quantization on para-Hermitian symmetric spaces.
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Positivity of Toeplitz operators via Berezin transform

Journal of Mathematical Analysis and Applications, 2014
Dechao Zheng
exaly