On leray’s formula

E. Liflyand; S. Samko

doi:10.1007/978-3-319-27466-9_9

On leray’s formula

E. Liflyand
, S. Samko

Department of Mathematics

University of Algarve

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

6 Scopus citations

Abstract

We transform Leray’s formula on the Fourier transform of a radial function in such a way that it preserves the form of a one-dimensional Fourier transform and the transformed function is close to the initial function as much as possible.

Original language	English
Title of host publication	Applied and Numerical Harmonic Analysis
Publisher	Springer International Publishing
Pages	139-146
Number of pages	8
Edition	9783319274652
DOIs	https://doi.org/10.1007/978-3-319-27466-9_9
State	Published - 2016

Publication series

Name	Applied and Numerical Harmonic Analysis
Number	9783319274652
ISSN (Print)	2296-5009
ISSN (Electronic)	2296-5017

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2016.

Keywords

Bessel function
Fourier transform
Fractional integral/derivative
Radial function

Access to Document

10.1007/978-3-319-27466-9_9

Cite this

@inbook{7758971390084f9b8531c8077001880d,

title = "On leray{\textquoteright}s formula",

abstract = "We transform Leray{\textquoteright}s formula on the Fourier transform of a radial function in such a way that it preserves the form of a one-dimensional Fourier transform and the transformed function is close to the initial function as much as possible.",

keywords = "Bessel function, Fourier transform, Fractional integral/derivative, Radial function",

author = "E. Liflyand and S. Samko",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",

year = "2016",

doi = "10.1007/978-3-319-27466-9\_9",

language = "אנגלית",

series = "Applied and Numerical Harmonic Analysis",

publisher = "Springer International Publishing",

number = "9783319274652",

pages = "139--146",

booktitle = "Applied and Numerical Harmonic Analysis",

edition = "9783319274652",

}

TY - CHAP

T1 - On leray’s formula

AU - Liflyand, E.

AU - Samko, S.

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2016.

PY - 2016

Y1 - 2016

N2 - We transform Leray’s formula on the Fourier transform of a radial function in such a way that it preserves the form of a one-dimensional Fourier transform and the transformed function is close to the initial function as much as possible.

AB - We transform Leray’s formula on the Fourier transform of a radial function in such a way that it preserves the form of a one-dimensional Fourier transform and the transformed function is close to the initial function as much as possible.

KW - Bessel function

KW - Fourier transform

KW - Fractional integral/derivative

KW - Radial function

UR - https://www.scopus.com/pages/publications/85047321007

U2 - 10.1007/978-3-319-27466-9_9

DO - 10.1007/978-3-319-27466-9_9

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.chapter???

AN - SCOPUS:85047321007

T3 - Applied and Numerical Harmonic Analysis

SP - 139

EP - 146

BT - Applied and Numerical Harmonic Analysis

PB - Springer International Publishing

ER -

On leray’s formula

Abstract

Publication series

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this