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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 519.46

Received: 23.08.2010

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2011, 174:1, 36–40

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