General elementary solution of a 𝑞-sided convolution type homogeneous equation-Reference-Cited by-同舟云学术

General elementary solution of a 𝑞-sided convolution type homogeneous equation

Published:2023-07-26 Issue:4 Volume:34 Page:695-713
ISSN:1061-0022
Container-title:St. Petersburg Mathematical Journal
language:en
Short-container-title:St. Petersburg Math. J.

Author:

Saranchuk Yu.,Shishkin A.

Abstract

Exponential polynomials satisfying a homogeneous equation of convolution type are called its elementary solutions. The article is devoted to convolution-type operators in the complex domain that generalize the well-known operators of q q -sided convolution and π \pi -convolution. The properties of such operators are investigated and the general form of elementary solutions (general elementary solution) of a homogeneous equation of q q -sided convolution type is described.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

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