Doubly-Weighted Pseudo-Almost Periodic Functions

Details Doubly-Weighted Pseudo-Almost Periodic Functions Doubly-Weighted Pseudo-Almost Periodic Functions

2010-12-14

arxiv.org/abs/1012.3043v1

Mathematics

Functional Analysis

First report

Scientific paper

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.

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