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Representations of almost periodic pseudodifferential operators and applications in spectral theory
Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Turin, Italy.
2012 (English)In: Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, E-ISSN 1662-999X, Vol. 3, no 1, 81-119 p.Article in journal (Refereed) Published
Abstract [en]

The paper concerns algebras of almost periodic pseudodifferential operators on Rd with symbols in Hörmander classes. We study three representations of such algebras, one of which was introduced by Coburn, Moyer and Singer and the other two inspired by results in probability theory by Gladyshev. Two of the representations are shown to be unitarily equivalent for nonpositive order. We apply the results to spectral theory for almost periodic pseudodifferential operators acting on L 2 and on the Besicovitch Hilbert space of almost periodic functions.

Place, publisher, year, edition, pages
Basel: Birkhäuser Verlag, 2012. Vol. 3, no 1, 81-119 p.
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-27576DOI: 10.1007/s11868-011-0037-2OAI: oai:DiVA.org:lnu-27576DiVA: diva2:637380
Available from: 2013-07-17 Created: 2013-07-17 Last updated: 2017-12-06Bibliographically approved

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Wahlberg, Patrik

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