On Malyshev’s Method of Automorphic Functions in Diﬀraction by Wedges

IF 0.4 4区数学 Q4 STATISTICS & PROBABILITY

Markov Processes and Related Fields Pub Date : 2023-12-22 DOI:10.61102/1024-2953-mprf.2023.29.4.002

A. Komech, A. Merzon

引用次数: 0

Abstract

We describe Malyshev’s method of automorphic functions in ap- plication to boundary value problems in angles and to diﬀraction by wedges. We give a concise survey of related results of A. Sommerfeld, S.L. Sobolev, J.B. Keller, G.E. Shilov and others.

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论马利雪夫的楔衍射自动函数法

我们描述了马利舍夫的自动函数方法在角的边界值问题和楔的二分法中的应用。我们对索默费尔德（A. Sommerfeld）、索博列夫（S.L. Sobolev）、凯勒（J.B. Keller）、希洛夫（G.E. Shilov）等人的相关研究成果进行了简要介绍。

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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来源期刊

Markov Processes and Related Fields STATISTICS & PROBABILITY-

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Markov Processes And Related Fields The Journal focuses on mathematical modelling of today''s enormous wealth of problems from modern technology, like artificial intelligence, large scale networks, data bases, parallel simulation, computer architectures, etc. Research papers, reviews, tutorial papers and additionally short explanations of new applied fields and new mathematical problems in the above fields are welcome.