K. R. Zabirova, V. V. Napalkov, “Composition Operators of Convolution and Multiplication by a Function”, Mat. Zametki, 2016, Volume 99, Issue 3,Pages <nobr>350

This article is cited in 1 paper

Composition Operators of Convolution and Multiplication by a Function

K. R. Zabirova^a, V. V. Napalkov^b

^a Ufa State Aviation Technical University
^b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa

Abstract: We study an operator which is the composition of the convolution operator and the operator of multiplication by a fixed entire function. Such operators find applications in the Fisher expansion problem, the Cauchy problem for convolution operators, etc.

Keywords: Dunkl operator, composition, convolution operator, operator of multiplication by a function.

UDC: 517.98

Received: 26.05.2013

DOI: 10.4213/mzm10342