This article is cited in 6 papers

Uniqueness theorems for solutions of the convolution equation on symmetric spaces

V. V. Volchkov

Donetsk National University

Abstract: Precise uniqueness theorems are proved for the solutions of a convolution equation on Riemannian symmetric spaces of non-compact type of rank $1$ and an application is given to lacunary series with respect to special functions.

UDC: 517.5

MSC: 22E10, 22E60, 26B35, 26B99, 30G99, 31G05, 33C10, 33C80, 33J05, 35A20, 35B99, 42A12, 42A75, 46F20, 42B05, 42C10, 43A50, 43A55, 43A85, 46E30, 53C21, 53C65, 58J45, 58J60

Received: 06.12.2005

DOI: 10.4213/im719

 English version: Izvestiya: Mathematics, 2006, 70:6, 1077–1092

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