Hilbert transforms and related topics associated with the Dunkl-Hermite functions
Küçük Resim Yok
Tarih
2009
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Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
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Kaynak
International Conference of Mathematical Sciences
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Künye
Ben Salem, N. ve Samaali, T. (2009). Hilbert transforms and related topics associated with the Dunkl-Hermite functions. Maltepe Üniversitesi. s. 303.
