ON THE HOLDER CONTINUITY OF AN INTEGRAL INVOLVING BESSEL FUNCTIONS.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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
- Theoretical Mathematics