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Doubly-Weighted Pseudo Almost Periodic Functions

Volume 12, Number 1 (2011), 121 - 136

Doubly-Weighted Pseudo Almost Periodic Functions

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Abstract

We introduce and study a new concept called doubly-weighted pseudo-almost periodicity, which generalizes the notion of weighted pseudo-almost periodicity due to Diagana. Properties of such a new concept such as the stability of the convolution, translation-invariance, existence of a doubly-weighted mean for almost periodic functions, and a composition result will be studied.