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

Department of Mathematics

Publications: Contribution to journal › Article › 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.

Original language	English
Article number	109724
Number of pages	25
Journal	Journal of Functional Analysis
Volume	284
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2022.109724
Publication status	Published - 1 Jan 2023
Event	Research Collaboration Visit: Linnaeus University - Department of Mathematics, Faculty of Technology, Linnaeus University, Växjö, Sweden Duration: 24 Apr 2022 → 2 May 2022 https://lnu.se/en/

Austrian Fields of Science 2012

101002 Analysis

Keywords

Fractional Fourier transforms
Bargmann transform
Multi-dimensional Phragmén-Lindelöf's theorem

Access to Document

10.1016/j.jfa.2022.109724

Cite this

@article{d73552660f5248e78a51c95ad7873139,

title = "Fourier characterizations of Pilipovi{\'c} spaces",

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. ",

keywords = "Fractional Fourier transforms, Bargmann transform, Multi-dimensional Phragm{\'e}n-Lindel{\"o}f's theorem",

author = "Joachim Toft and Anupam Gumber",

note = "Publisher Copyright: {\textcopyright} 2022 The Author(s); Research Collaboration Visit: Linnaeus University ; Conference date: 24-04-2022 Through 02-05-2022",

year = "2023",

month = jan,

day = "1",

doi = "10.1016/j.jfa.2022.109724",

language = "English",

volume = "284",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "ACADEMIC PRESS INC ELSEVIER SCIENCE",

number = "1",

url = "https://lnu.se/en/",

}

TY - JOUR

T1 - Fourier characterizations of Pilipović spaces

AU - Toft, Joachim

AU - Gumber, Anupam

PY - 2023/1/1

Y1 - 2023/1/1

N2 - 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.

AB - 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.

KW - Fractional Fourier transforms

KW - Bargmann transform

KW - Multi-dimensional Phragmén-Lindelöf's theorem

UR - http://www.scopus.com/inward/record.url?scp=85139837239&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2022.109724

DO - 10.1016/j.jfa.2022.109724

M3 - Article

SN - 0022-1236

VL - 284

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

M1 - 109724

T2 - Research Collaboration Visit: Linnaeus University

Y2 - 24 April 2022 through 2 May 2022

ER -

Fourier characterizations of Pilipović spaces

Abstract

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Universal Optimality of the Hexagonal Lattice

Cite this

Fourier characterizations of Pilipović spaces

Abstract

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Projects

Universal Optimality of the Hexagonal Lattice

Cite this