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https://open.uns.ac.rs/handle/123456789/236
Title: | Translation–Modulation Invariant Banach Spaces of Ultradistributions | Authors: | Dimovski P. Pilipović, Stevan Prangoski B. Vindas J. |
Issue Date: | 15-Jun-2019 | Journal: | Journal of Fourier Analysis and Applications | Abstract: | © 2018, Springer Science+Business Media, LLC, part of Springer Nature. We introduce and study a new class of translation–modulation invariant Banach spaces of ultradistributions. These spaces show stability under Fourier transform and tensor products; furthermore, they have a natural Banach convolution module structure over a certain associated Beurling algebra, as well as a Banach multiplication module structure over an associated Wiener–Beurling algebra. We also investigate a new class of modulation spaces, the Banach spaces of ultradistributions MF on Rd, associated to translation–modulation invariant Banach spaces of ultradistributions F on R2d. | URI: | https://open.uns.ac.rs/handle/123456789/236 | ISSN: | 10695869 | DOI: | 10.1007/s00041-018-9610-x |
Appears in Collections: | PMF Publikacije/Publications |
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