ON THE HOLDER CONTINUITY OF AN INTEGRAL INVOLVING BESSEL FUNCTIONS.

Abstract

With the aim of using in an argument in the study of the spectrum of the Schrodinger operators, a particular integral involving the Bessel functions and depending on a parameter is considered. The main purpose is to investigate the continuity property of the integral with respect to the parameter. It is shown that it is Holder continuous with the exponent large enough for the purpose of the application and that the Holder continuity is uniform with respect to the order of the Bessel function involved. The second point constitutes the major part of the discussion. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1967
Accession Number
AD0657578

Entities

People

  • S. T. Kuroda

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Continuity
  • Integrals
  • Mathematics
  • Spectra

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design