Mean - Periodicity in Several Variables.

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0750158

Entities

People

  • Edwin J. Akutowicz

Organizations

  • University of Montpellier

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Convolution
  • Equations
  • Exponential Functions
  • Integrals
  • Periodic Variations

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.