Fourier characterizations of Pilipović spaces

Joachim Toft; Anupam Gumber

doi:10.1016/j.jfa.2022.109724

Fourier characterizations of Pilipović spaces

Joachim Toft, Anupam Gumber

Institut für Mathematik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › Peer Reviewed

Abstract

Let f be a function or distribution on R ^d. We characterize Pilipović space in terms of certain estimates of the involved functions and suitable choices of their fractional Fourier transforms. For the analysis we derive a multi-dimensional version of Phragmén-Lindelöf's theorem.

Originalsprache	Englisch
Aufsatznummer	109724
Seitenumfang	25
Fachzeitschrift	Journal of Functional Analysis
Jahrgang	284
Ausgabenummer	1
DOIs	https://doi.org/10.1016/j.jfa.2022.109724
Publikationsstatus	Veröffentlicht - 1 Jan. 2023
Veranstaltung	Research Collaboration Visit: Linnaeus University - Department of Mathematics, Faculty of Technology, Linnaeus University, Växjö, Schweden Dauer: 24 Apr. 2022 → 2 Mai 2022 https://lnu.se/en/

ÖFOS 2012

101002 Analysis

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10.1016/j.jfa.2022.109724

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Universelle Optimalität des hexagonalen Gitters
Faulhuber, M.
1/10/20 → 30/09/22
Projekt: Forschungsförderung

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abstract = "Let f be a function or distribution on R d. We characterize Pilipovi{\'c} space in terms of certain estimates of the involved functions and suitable choices of their fractional Fourier transforms. For the analysis we derive a multi-dimensional version of Phragm{\'e}n-Lindel{\"o}f's theorem. ",

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author = "Joachim Toft and Anupam Gumber",

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KW - Fractional Fourier transforms

KW - Bargmann transform

KW - Multi-dimensional Phragmén-Lindelöf's theorem

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Fourier characterizations of Pilipović spaces

Abstract

ÖFOS 2012

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