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
Descriptors:
Subject Categories:
- Theoretical Mathematics