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dc.contributor.authorElkachkouri, Abdelatifen_US
dc.contributor.authorGhanmi, Allalen_US
dc.contributor.authorHafoud, Alien_US
dc.date.accessioned2022-10-04T19:12:32Z
dc.date.available2022-10-04T19:12:32Z
dc.date.issued2022
dc.identifier.citationElkachkouri, A., Ghanmi, A. & Hafoud, A. (2022). Bargmann’s versus for fractional Fourier transforms and application to the quaternionic fractional Hankel transform. TWMS Journal Of Applied And Engineering Mathematics, 12(4), 1356-1367.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/4947
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/117-vol12no4/919
dc.description.abstractWe present a general formalism `a la Bargmann for constructing fractional Fourier transform associated to specific class of integral transforms on separable Hilbert spaces. As concrete application, we consider the quaternionic fractional Fourier transform on the real half-line and associated to the hyperholomorphic second Bargmann transform for the slice Bergman space of second kind. This leads to an extended version of the well-known fractional Hankel transform. Basic properties are derived including inversion formula and Plancherel identity.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectFractional Fourier transformen_US
dc.subjectFractional Hankel transformen_US
dc.subjectSlice hyperholomorphic Bergman spaceen_US
dc.subjectSecond Bargmann transformen_US
dc.subjectLaguerre polynomialsen_US
dc.subjectBessel functionsen_US
dc.titleBargmann’s versus for fractional Fourier transforms and application to the quaternionic fractional Hankel transformen_US
dc.typeArticleen_US
dc.identifier.volume12
dc.identifier.issue4
dc.identifier.startpage1356
dc.identifier.endpage1367
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.indekslendigikaynakMathScineten_US
dc.indekslendigikaynakScopusen_US


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