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arXiv · 1411.2110

Matrix beta-integrals: an overview

Yury A. Neretin
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Abstract

First examples of matrix beta-integrals were discovered on 1930-50s by Siegel and Hua, in 60s Gindikin obtained multi-parametric series of such integrals. We discuss beta-integrals related to symmetric spaces, their interpolation with respect to the dimension of a ground field, and adelic analogs; also we discuss beta-integrals related to flag spaces.

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Yury A. Neretin. 2015-01-16. Matrix beta-integrals: an overview. https://doi.org/10.1007/978-3-319-18212-4_20

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