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Characterizations of a class of Pilipovic spaces by powers of harmonic oscillator
Austrian Acad Sci, Austria.
Univ Valencia, Spain.
Univ Valencia, Spain.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-1921-8168
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2020 (English)In: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, Vol. 114, no 3, p. 1-13, article id 131Article in journal (Refereed) Published
Abstract [en]

We show that a smooth function f on Rd belongs to the Pilipovic space Hbσ (Rd ) or the Pilipovic space H0,bσ (Rd ), if and only if the Lp norm of HN d f for N ≥ 0, satisfy certain types of estimates. Here Hd = |x|2 − Δx is the harmonic oscillator.
Place, publisher, year, edition, pages
Springer, 2020. Vol. 114, no 3, p. 1-13, article id 131
Keywords [en]
Harmonic oscillator, Pilipovic spaces
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-95409DOI: 10.1007/s13398-020-00858-8ISI: 000532976200001Scopus ID: 2-s2.0-85084601400OAI: oai:DiVA.org:lnu-95409DiVA, id: diva2:1434962
Available from: 2020-06-04 Created: 2020-06-04 Last updated: 2021-05-07Bibliographically approved

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Toft, Joachim

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