Accession Number:

AD0750158

Title:

Mean - Periodicity in Several Variables.

Descriptive Note:

Final technical rept. Jun 71-May 72,

Corporate Author:

MONTPELLIER UNIV (FRANCE) FACULTE DES SCIENCES

Personal Author(s):

Report Date:

1972-08-01

Pagination or Media Count:

23.0

Abstract:

The report describes efforts to extend to several variables the theory of mean periodicity developed in the first year of work. The author obtained a representation of solutions of homogeneous convolution equations through a sum or integral or exponential functions. The coefficient of such a formula would then yield a far reaching generalization of the notion of Fourier transform. In the special case where Z is a manifold a fairly satisfactory solution is provided. In the general case, it was not possible to divide or extrapolate as is required with the special case solution. The partitioning of Z is related to the special synthesis problem. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE