Estimates for certain integrals of products of six Bessel functions

Diogo Oliveira e Silva, Christoph Thiele

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
185 Downloads (Pure)

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 languageEnglish
Pages (from-to)1423-1462
Number of pages40
JournalRevista Matematica Iberoamericana
Volume33
Issue number4
Early online date17 Nov 2017
DOIs
Publication statusPublished - 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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