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https://open.uns.ac.rs/handle/123456789/12765| Title: | Bilinear Hilbert transform of ultradistributions | Authors: | Buchkovska A. Pilipović, Stevan |
Issue Date: | 1-Jun-2002 | Journal: | Integral Transforms and Special Functions | Abstract: | 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 |
| Appears in Collections: | PMF Publikacije/Publications |
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