{"title":"A Formal Perturbation Theory of Carleman Operators","authors":"S. Bahri","doi":"10.5772/INTECHOPEN.79022","DOIUrl":null,"url":null,"abstract":"In this chapter, we introduce a multiplication operation that allows us to give to the Carleman integral operator of second class the form of a multiplication operator. Also we establish the formal theory of perturbation of such operators.","PeriodicalId":114469,"journal":{"name":"Perturbation Methods with Applications in Science and Engineering","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Perturbation Methods with Applications in Science and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5772/INTECHOPEN.79022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this chapter, we introduce a multiplication operation that allows us to give to the Carleman integral operator of second class the form of a multiplication operator. Also we establish the formal theory of perturbation of such operators.
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