Estimates for certain integrals of products of six Bessel functions

Diogo Oliveira e Silva; Christoph Thiele

doi:10.4171/RMI/977

Estimates for certain integrals of products of six Bessel functions

Diogo Oliveira e Silva, Christoph Thiele

Mathematics

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3 Citations (Scopus)

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Abstract

We establish good numerical estimates for a certain class of integrals involving sixfold products of Bessel functions. We use relatively elementary methods. The estimates will be used in the study of a sharp Fourier restriction inequality on the circle in a companion paper.

Original language	English
Pages (from-to)	1423-1462
Number of pages	40
Journal	Revista Matematica Iberoamericana
Volume	33
Issue number	4
Early online date	17 Nov 2017
DOIs	https://doi.org/10.4171/RMI/977
Publication status	Published - 2017

Bibliographical note

41 pages, 1 figure, 1 table

Keywords

math.CA
33C10, 42B10, 65D30
Bessel functions
Fourier restriction
Asymptotic analysis
Newton-Coates quadrature

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Silva_Estimates_for_certain_integrals_Revista_Matemática_Iberoamericana
Published as above, final version of record available at DOI: 10.4171/RMI/977. For non-commercial use only. Checked 4/6/18.
Accepted author manuscript, 526 KBLicence: None: All rights reserved

Cite this

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title = "Estimates for certain integrals of products of six Bessel functions",

abstract = "We establish good numerical estimates for a certain class of integrals involving sixfold products of Bessel functions. We use relatively elementary methods. The estimates will be used in the study of a sharp Fourier restriction inequality on the circle in a companion paper.",

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AU - Thiele, Christoph

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KW - math.CA

KW - 33C10, 42B10, 65D30

KW - Bessel functions

KW - Fourier restriction

KW - Asymptotic analysis

KW - Newton-Coates quadrature

UR - http://www.ems-ph.org/journals/show_issue.php?issn=0213-2230&vol=33&iss=4

U2 - 10.4171/RMI/977

DO - 10.4171/RMI/977

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JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

IS - 4

ER -

Estimates for certain integrals of products of six Bessel functions

Abstract

Bibliographical note

Keywords

Access to Document

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Cite this