Complteness of a Collection Generated by Translating a set of Functions

Nguyen Quang Dieu

Abstract

     Some sufficient conditions for completeness of a collections generated from translates and dilates of a single function in the functional spaces  Lp({Rb}n)C({Rb}n)C0({Rb}n) and in the subspace of all entire functions  C({Rb}n)  are given.