Mapping properties for the Bargmann transform on modulation spaces 2012 (English)In: Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, E-ISSN 1662-999X, Vol. 3, no 1, p. 1-30Article in journal (Refereed) Published

Abstract [en]

We investigate the mapping properties for the Bargmann transform and prove that this transform is isometricand bijective from modulation spaces to convenient Banach spaces of analytic functions.

Place, publisher, year, edition, pages

Springer-Birkhäuser , 2012. Vol. 3, no 1, p. 1-30

Keywords [en]

bijectivity properties, harmonic oscillator, Hermite functions, Toeplitz operators

National Category

Mathematics

Research subject

Natural Science, Mathematics

Identifiers

URN: urn:nbn:se:lnu:diva-13764DOI: 10.1007/s11868-011-0039-0ISI: 000209056100001Scopus ID: 2-s2.0-84873037412OAI: oai:DiVA.org:lnu-13764DiVA, id: diva2:434533

Projects

Matematisk modelleringAvailable from: 2011-08-15 Created: 2011-08-15 Last updated: 2018-02-16Bibliographically approved

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Toft, Joachim

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Toft, Joachim

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School of Computer Science, Physics and Mathematics

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Journal of Pseudo-Differential Operators and Applications

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Mathematics

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