Wolfgang Bock, Ang Elyn Gumanoy, Sheila Menchavez, Elmira Nabizadeh Morsalfard
{"title":"An analytic characterization of symbols of operators on non-Gaussian Mittag-Leffler functionals","authors":"Wolfgang Bock, Ang Elyn Gumanoy, Sheila Menchavez, Elmira Nabizadeh Morsalfard","doi":"arxiv-2409.06143","DOIUrl":null,"url":null,"abstract":"In this paper, we provide proofs for the analytic characterization theorems\nof the operator symbols utilizing the characterization theorem for the\nMittag-Leffler distribution space.We work out examples which can be interpreted\nas integral kernel operators and treat the important case of the translation\noperator.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06143","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 paper, we provide proofs for the analytic characterization theorems
of the operator symbols utilizing the characterization theorem for the
Mittag-Leffler distribution space.We work out examples which can be interpreted
as integral kernel operators and treat the important case of the translation
operator.