Accession Number:

AD0726034

Title:

Mean-Periodicity in Several Variables.

Descriptive Note:

Final technical rept. 1 Feb 70-31 Jan 71,

Corporate Author:

MONTPELLIER UNIV (FRANCE) FACULTE DES SCIENCES

Personal Author(s):

Report Date:

1971-05-01

Pagination or Media Count:

12.0

Abstract:

The author concentrated on extending this theory of mean-periodicity for functions of one variable to functions of several variables. The purpose is to obtain a representation of solution of homogeneous convolution equations through a sum or integral of exponential functions, a sort of extension of the notion of Fourier series. This problem of spectral synthesis, which forms the core of our investigations, is so formulated as to depend upon a sufficiently concrete characterisation Q of a certain quotient space. This problem of characterisation then amounts to proving that a correspondence rho is an isomorphism. But proving the injectivity and surjectivity of rho constitute two exceedingly interesting and far-reaching problems of complex analysis. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE