Mean - Periodicity in Several Variables.
Final technical rept. Jun 71-May 72,
MONTPELLIER UNIV (FRANCE) FACULTE DES SCIENCES
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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
- Theoretical Mathematics