Bilinear Hilbert transform of ultradistributions

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Назив:	Bilinear Hilbert transform of ultradistributions
Аутори:	Buchkovska A. Pilipović, Stevan
Датум издавања:	1-јун-2002
Часопис:	Integral Transforms and Special Functions
Сажетак:	Following we define the bilinear Hilbert transform of ultradistributions Hα: D′(,L2 × D(,L∞) → D′(,L2), respectively Hα: D′(, Lq1) × D(, Lp2) → D′( Lq where D′(, L2), and D′(, Lq), are subspaces of the space of Beurling (Roumieu) ultradistributions D′() = D′(, Rn) (* is a common notation for Beurling and Roumieu type spaces). We give the inversion formula and discuss the general bilinear Hilbert transform of ultradistributions. Also, the product of ultradistributions is connected with this transformation.
URI:	https://open.uns.ac.rs/handle/123456789/12765
ISSN:	10652469
DOI:	10.1080/10652460213520
Налази се у колекцијама:	PMF Publikacije/Publications