Estimates for certain integrals of products of six Bessel functions

  • Diogo Oliveira e Silva

    Universität Bonn, Germany
  • Christoph Thiele

    Universität Bonn, Germany

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.

Cite this article

Diogo Oliveira e Silva, Christoph Thiele, Estimates for certain integrals of products of six Bessel functions. Rev. Mat. Iberoam. 33 (2017), no. 4, pp. 1423–1462

DOI 10.4171/RMI/977