Abstract
First examples of matrix beta-integrals were discovered in 1930–50s by Siegel and Hua and in the 60s Gindikin obtained multi-parametric series of such integrals. We discuss beta-integrals related to the 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.
Mathematics Subject Classification (2010). 33B15, 53C35, 11F85, 11M99, 14M15.
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Neretin, Y.A. (2015). Matrix Beta-integrals: An Overview. In: Kielanowski, P., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18212-4_20
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DOI: https://doi.org/10.1007/978-3-319-18212-4_20
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18211-7
Online ISBN: 978-3-319-18212-4
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