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http://hdl.handle.net/20.500.12188/754
Наслов: | Translation-modulation invariant Banach spaces of ultradistributions | Authors: | Dimovski, Pavel Pilipovic, Stevan Prangoski, Bojan Vindas, Jasson |
Issue Date: | 30-апр-2018 | Publisher: | Springer US | Journal: | Journal of Fourier Analysis and Applications | Abstract: | 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: | http://hdl.handle.net/20.500.12188/754 | DOI: | https://doi.org/10.1007/s00041-018-9610-x |
Appears in Collections: | Faculty of Technology and Metallurgy: Journal Articles |
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