International Journal of Mathematics and Mathematical Sciences 
Volume 5 (1982), Issue 4, Pages 721-728
doi:10.1155/S0161171282000660

On the spectrum of a distribution function and on unique factorization

T. Pham-Gia

 Departement de Physique-Mathematiques, Universite de Moncton, Moncton EIA 3E9, N.-B., Canada
Received 13 November 1980; Revised 30 June 1982

Abstract

The spectrum of a distribution function is related to the quasi-analyticity of a class of functions {CM(j)}, where M(j) is a multisequence of positive numbers. For a regular multisequence, a result on the uniqueness of characteristic function decomposition is given.