This article is cited in 4 papers

On holomorphic extendability of functions from part of the Lie sphere to the Lie ball

B. A. Shaimkulov

National University of Uzbekistan named after M. Ulugbek

Abstract: We describe domains to which the Hua Loo–Keng-type integral for the Lie ball extends holomorphically. We obtain a criterion for the possibility of holomorphic extension of functions from part of the Lie sphere to the Lie ball.

Keywords: Lie ball, integral representation, holomorphic extension.

UDC: 517.55

Received: 21.10.2002

 English version: Siberian Mathematical Journal, 2003, 44:6, 1105–1110

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