This article is cited in 11 papers

Uniqueness theorems for some classes of functions with zero spherical means

V. V. Volchkov

Donetsk National University

Abstract: We study various classes of functions that have zero integrals over all spheres of given radius. For these functions, we obtain a description in the form of a series in special functions; the problem of the existence of a nonzero function of prescribed growth with this property is completely solved.

UDC: 517

Received: 23.08.1994

DOI: 10.4213/mzm1587

 English version: Mathematical Notes, 1997, 62:1, 50–55

Bibliographic databases:

• 
• 
•