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Hilbert space embeddings for Gelfand–Shilov and Pilipović spaces
Linnaeus University, Faculty of Technology, Department of Mathematics.
University of Agder, Norway.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-1921-8168
2017 (English)In: Generalized Functions and Fourier Analysis: Dedicated to Stevan Pilipović on the Occasion of his 65th Birthday / [ed] Michael Oberguggenberger, Joachim Toft, Jasson Vindas, Patrik Wahlberg, Springer, 2017, 31-44 p.Chapter in book (Refereed)
Abstract [en]

We consider quasi-Banach spaces that lie between a Gelfand–Shilov space, or more generally, Pilipovi´c space, H, and its dual, H′. We prove that for such quasi-Banach space B, there are convenient Hilbert spaces, Hk, k=1,2ss, with normalized Hermite functions as orthonormal bases and such that B lies between H1 and H1, and the latter spaces lie between H and H′.

Place, publisher, year, edition, pages
Springer, 2017. 31-44 p.
Series
Operator Theory: Advances and Applications, 260
National Category
Computational Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-64652DOI: 10.1007/978-3-319-51911-1_3ScopusID: 2-s2.0-85019068565ISBN: 978-3-319-51910-4 (print)ISBN: 978-3-319-51911-1 (electronic)OAI: oai:DiVA.org:lnu-64652DiVA: diva2:1104948
Available from: 2017-06-02 Created: 2017-06-02 Last updated: 2017-06-27Bibliographically approved

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