Hilbert transforms and related topics associated with the Dunkl-Hermite functions
dc.contributor.author | Ben Salem, Nejib | |
dc.contributor.author | Samaali, Taha | |
dc.date.accessioned | 2024-07-12T20:56:16Z | |
dc.date.available | 2024-07-12T20:56:16Z | |
dc.date.issued | 2009 | en_US |
dc.department | Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi | en_US |
dc.description.abstract | We 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.citation | Ben 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.endpage | 304 | en_US |
dc.identifier.isbn | 9.78605E+12 | |
dc.identifier.startpage | 303 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12415/2946 | |
dc.language.iso | en | en_US |
dc.publisher | Maltepe Üniversitesi | en_US |
dc.relation.ispartof | International Conference of Mathematical Sciences | en_US |
dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
dc.rights | CC0 1.0 Universal | * |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
dc.snmz | KY07670 | |
dc.title | Hilbert transforms and related topics associated with the Dunkl-Hermite functions | en_US |
dc.type | Conference Object | |
dspace.entity.type | Publication |