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https://open.uns.ac.rs/handle/123456789/12765| Nаziv: | Bilinear Hilbert transform of ultradistributions | Аutоri: | Buchkovska A. Pilipović, Stevan |
Dаtum izdаvаnjа: | 1-јун-2002 | Čаsоpis: | Integral Transforms and Special Functions | Sažetak: | Following we define the bilinear Hilbert transform of ultradistributions H*α: D′(*,L2 × D(*,L∞) → D′(*,L2), respectively H*α: 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 |
| Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
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