Exponential Synthesis in the Kernel of a Symmetric Convolution


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Abstract

The paper describes a certain class of homogeneous equations of convolution type in spaces of analytic functions on convex domains. We obtain sufficient conditions under which every solution of an equation from this class is approximated by its elementary solutions.

About the authors

A. B. Shishkin

Kuban State University

Author for correspondence.
Email: Shishkin-home@mail.ru
Russian Federation, Krasnodar

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