𝑞-sided卷积型齐次方程的一般初等解

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2023-07-26 DOI:10.1090/spmj/1774

Yuriy Saranchuk, A. Shishkin

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引用次数: 0

摘要

满足卷积型齐次方程的指数多项式称为它的初等解。本文研究了复域上的卷积型算子，它推广了著名的q - q边卷积算子和π \pi -卷积算子。研究了这类算子的性质，给出了一类q - q边卷积型齐次方程初等解的一般形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.