Year: 2018
Title: Translation-modulation invariant Banach spaces of ultradistributions
Author: Dimovski, Pavel
Author: Pilipovic, Stevan
Author: Prangoski, Bojan
Author: Vindas, Jasson
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 .
Publisher: Springer US
Relation: Journal of Fourier Analysis and Applications
Identifier: oai:repository.ukim.mk:20.500.12188/754
Identifier: http://hdl.handle.net/20.500.12188/754Identifier: https://doi.org/10.1007/s00041-018-9610-xIdentifier: 1,525
