Hilbert transforms and related topics associated with the Dunkl-Hermite functions

dc.contributor.authorBen Salem, Nejib
dc.contributor.authorSamaali, Taha
dc.date.accessioned2024-07-12T20:56:16Z
dc.date.available2024-07-12T20:56:16Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractWe consider expansions of functions in L p (R, |x| 2kdx), 1 ? p < +? with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl setting and study their properties. Next, we define and deal with Hilbert transforms and conjugate Poisson integrals in the same setting. The formers occur to be Calder´on-Zygmund operators and hence their mapping properties follow from general results.en_US
dc.identifier.citationBen Salem, N. ve Samaali, T. (2009). Hilbert transforms and related topics associated with the Dunkl-Hermite functions. Maltepe Üniversitesi. s. 303.en_US
dc.identifier.endpage304en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage303en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2946
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07670
dc.titleHilbert transforms and related topics associated with the Dunkl-Hermite functionsen_US
dc.typeConference Object
dspace.entity.typePublication

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