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
Descriptors:
Subject Categories:
- Theoretical Mathematics