Asymptotic Expansions of Integrals with Oscillatory Kernels and Logarithmic Singularities.

摘要

This paper is a follow-up to an earlier paper which derived asymptotic expansions of integral transforms of functions with logarithmic singularities. That result dealt with exponentially decaying kernels. In this paper the results are expanded to include the case of oscillatory kernels - e.g., Fourier or Hankel transforms. (Author)