Composition operators of convolution and multiplication by a function


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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.

About the authors

K. R. Zabirova

Ufa State Aviation Technical University

Author for correspondence.
Email: karinazabirova@gmail.com
Russian Federation, Ufa

V. V. Napalkov

Institute of Mathematics with Computer Center, Ufa Science Center

Email: karinazabirova@gmail.com
Russian Federation, Ufa

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