Berezin Transform for Solvable Groups

被引：0

作者：

Jonathan Arazy

Harald Upmeier

机构：

[1] University of Haifa,Department of Mathematics

[2] Universität Marburg,Fachbereich Mathematik

来源：

Acta Applicandae Mathematica | 2004年 / 81卷

关键词：

Berezin transform; solvable groups; homogeneous Siegel domains; symmetric cones; Euclidean Jordan algebras; reproducing kernels; correspondence principle; summability kernels; hypergeometric functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the Berezin transform in the context of solvable groups AN (acting on homogeneous cones and Siegel domains) and determine its spectral decomposition, using an explicit integral kernel representation for the associated ‘eigen-operators’ in terms of multivariable hypergeometric functions.

引用

页码：5 / 28

页数：23

共 6 条

[1]

Arazy J.(2003)Boundary measures for symmetric domains and integral formulas for the discrete Wallach points Integral Equations Operator Theory 47 375-434

[2]

Upmeier H.(1975)Quantization in complex symmetric spaces Math. USSR Izv. 9 341-379

[3]

Berezin F. A.(1964)Analysis on homogeneous domains Russian Math. Surveys 19 1-89

[4]

Gindikin S.(1994)The Berezin transform and invariant differential operators Comm. Math. Phys. 164 563-597

[5]

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[6]

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