Modulation spaces, multipliers associated with the special affine Fourier transform

Autor:	M. H. A. Biswas, H. G. Feichtinger, R. Ramakrishnan
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis Computational Mathematics Computational Theory and Mathematics Applied Mathematics FOS: Mathematics 42A38 42B25 42B35 Functional Analysis (math.FA)
DOI:	10.48550/arxiv.2207.03696
Popis:	We study some fundamental properties of the special affine Fourier transform (SAFT) in connection with the Fourier analysis and time-frequency analysis. We introduce the modulation space $\boldsymbol {M}^{r,s}_A$ in connection with SAFT and prove that if a bounded linear operator between new modulation spaces commutes with $A$-translation, then it is a $A$-convolution operator. We also establish H\"{o}rmander multiplier theorem and Littlewood-Paley theorem associated with the SAFT. Comment: 26 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0863a6bf97980bd119911cfdb42048b8 Zobrazit plný text záznamu