Acta Mathematica Vietnamica
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COMPLETENESS OF A COLLECTION GENERATED BY TRANSLATING A SET OF FUNCTIONS
NGUYEN QUANG DIEUpp. 27-38
Abstract
Some sufficient conditions for completeness of a collections generated from translates and dilates of a single function in the functional spaces $L_p(\mathbb R^n)$, $C(\mathbb R^n)$, $C_0(\mathbb R^n)$ and in the subspace of all entire functions $C^{\infty}(\mathbb R^n)$ are given.