{"title":"论马利雪夫的楔衍射自动函数法","authors":"A. Komech, A. Merzon","doi":"10.61102/1024-2953-mprf.2023.29.4.002","DOIUrl":null,"url":null,"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.","PeriodicalId":48890,"journal":{"name":"Markov Processes and Related Fields","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Malyshev’s Method of Automorphic Functions in Diffraction by Wedges\",\"authors\":\"A. Komech, A. Merzon\",\"doi\":\"10.61102/1024-2953-mprf.2023.29.4.002\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":48890,\"journal\":{\"name\":\"Markov Processes and Related Fields\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-12-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Markov Processes and Related Fields\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.61102/1024-2953-mprf.2023.29.4.002\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Markov Processes and Related Fields","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.61102/1024-2953-mprf.2023.29.4.002","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
On Malyshev’s Method of Automorphic Functions in Diffraction by Wedges
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.
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.
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