A one-parameter calculus for symmetric domains

Jonathan Arazy; Harald Upmeier

doi:10.1002/mana.200610527

A one-parameter calculus for symmetric domains

Jonathan Arazy, Harald Upmeier

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a parameter dependent operator calculus on hermitian symmetric domains, interpolating the Toeplitz and Weyl calculus, and establish its basic properties including the Berezin transform for rank 1 domains. 2007 WILEY-VCH Verlag GmbH & Co. KGaA.

Original language	English
Pages (from-to)	939-961
Number of pages	23
Journal	Mathematische Nachrichten
Volume	280
Issue number	9-10
DOIs	https://doi.org/10.1002/mana.200610527
State	Published - 2007

Keywords

Berezin transform
Holomorphic functions
Quantization operators
Symmetric domains

ASJC Scopus subject areas

General Mathematics

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10.1002/mana.200610527

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title = "A one-parameter calculus for symmetric domains",

abstract = "We introduce a parameter dependent operator calculus on hermitian symmetric domains, interpolating the Toeplitz and Weyl calculus, and establish its basic properties including the Berezin transform for rank 1 domains. 2007 WILEY-VCH Verlag GmbH \& Co. KGaA.",

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author = "Jonathan Arazy and Harald Upmeier",

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AU - Upmeier, Harald

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AB - We introduce a parameter dependent operator calculus on hermitian symmetric domains, interpolating the Toeplitz and Weyl calculus, and establish its basic properties including the Berezin transform for rank 1 domains. 2007 WILEY-VCH Verlag GmbH & Co. KGaA.

KW - Berezin transform

KW - Holomorphic functions

KW - Quantization operators

KW - Symmetric domains

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U2 - 10.1002/mana.200610527

DO - 10.1002/mana.200610527

M3 - Article

AN - SCOPUS:34547190139

SN - 0025-584X

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EP - 961

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 9-10

ER -

A one-parameter calculus for symmetric domains

Abstract

Keywords

ASJC Scopus subject areas

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