Series On Soviet And East European Mathematics

1 primary work

Convolution Type Functional Equations on Topological Abelian Groups

by Laszlo Szekelyhidi and L Kelyhidi

Published 1 January 1991

This book is devoted to the possible applications of spectral analysis and spectral synthesis for convolution type functional equations on topological abelian groups. The solution space of convolution type equations has been synthesized in the sense that the general solutions are built up from exponential monomial solutions. In particular, equivalence of systems of functional equations can be tested. This leads to a unified treatment of classical equations and to interesting new results.