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) : Akutowicz,Edwin J.

Report Date : AUG 1972

Pagination or Media Count : 23

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 :   (*COMPLEX VARIABLES, INTEGRAL TRANSFORMS), TOPOLOGY, VECTOR SPACES, POLYNOMIALS, FOURIER ANALYSIS, FRANCE

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE