Accession Number:

AD0722681

Title:

Functions Whose Fourier Transform Decays at Infinity; An Extension of the Riemann Lebesgue Lemma,

Descriptive Note:

Corporate Author:

DENVER RESEARCH INST COLO DIV OF MATHEMATICAL SCIENCES

Report Date:

1971-04-01

Pagination or Media Count:

13.0

Abstract:

An extension of the Riemann Lebesgue Lemma is stated and proved. The class of functions considered are locally L sub 1 on 0, infinity and have asymptotic expansion as t approaches infinity of the form ft is approximately equal to expi alpha t sup nu. Summation, n0 to infinity, summation m0 to Nm of C sub mnt supr sub mlog t to the nth power. Here the sequence Re r sub m increases monotonically to plus infinity, Re r sub 0 0 and Nm is finite for each m. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE