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Images of function and distribution spaces under theBargmann transform
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
2017 (English)In: Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, E-ISSN 1662-999X, Vol. 8, no 1, 83-139 p.Article in journal (Refereed) Published
Abstract [en]

Weconsiderabroadfamilyoftestfunctionspacesandtheirdual(distribu- tion) spaces. The family includes Gelfand–Shilov spaces, and a family of test function spaces introduced by Pilipovic ́. We deduce different characterizations of such spaces, especially under the Bargmann transform and the Short-time Fourier transform. The family also include a test function space, whose dual space is mapped by the Bargmann transform bijectively to the set of entire functions. 

Place, publisher, year, edition, pages
2017. Vol. 8, no 1, 83-139 p.
Keyword [en]
Gelfand–Shilov estimates, Pilipovic ́ spaces, Ultradistributions, Bargmann transform
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61868DOI: 10.1007/s11868-016-0165-9OAI: oai:DiVA.org:lnu-61868DiVA: diva2:1084980
Projects
Matematisk modellering, ICMM
Available from: 2017-03-27 Created: 2017-03-27 Last updated: 2017-03-31Bibliographically approved

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Toft, Joachim
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