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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 378, Pages 73–80 (Mi znsl3829)  
On the beta function of the tube of the light cone

Yu. A. Neretinabc

a Moscow State University, Moscow, Russia
b Institute for Theoretical and Experimental Physics, Moscow, Russia
c University of Vienna, Vienna, Austria
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Abstract: We construct the beta function of the Hermitian symmetric space $\mathrm O(n,2)/\mathrm O(n)\times\mathrm O(2)$, or, equivalently, of the tube $(\operatorname{Re}z_0)^2> (\operatorname{Re}z_1)^2+\dots+(\operatorname{Re}z_n)^2$ in $\mathbb C^{n+1}$. Bibl. 11 titles.
Key words and phrases: beta integrals, Berezin kernels, Cartan domains, Lie ball, Hua integrals, tube domains, Hermitian symmetric spaces.
Received: 23.08.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 174, Issue 1, Pages 36–40
DOI: https://doi.org/10.1007/s10958-011-0279-9
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: English
Citation: Yu. A. Neretin, “On the beta function of the tube of the light cone”, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Zap. Nauchn. Sem. POMI, 378, POMI, St. Petersburg, 2010, 73–80; J. Math. Sci. (N. Y.), 174:1 (2011), 36–40
Citation in format AMSBIB
\Bibitem{Ner10}
\by Yu.~A.~Neretin
\paper On the beta function of the tube of the light cone
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 378
\pages 73--80
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3829}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 174
\issue 1
\pages 36--40
\crossref{https://doi.org/10.1007/s10958-011-0279-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952818198}
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