Asymptotic Expansions of Integrals with Oscillatory Kernels and Logarithmic Singularities.

Abstract

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)

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Document Details

Document Type
Technical Report
Publication Date
Jul 20, 1977
Accession Number
ADA043155

Entities

People

  • Judith A. Armstrong
  • Norman Bleistein

Organizations

  • Denver Research Institute

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Contour Integrals
  • Convolution Integrals
  • Guarantees
  • Integral Transforms
  • Integrals
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Notation
  • Security
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis