English

Doubly-Weighted Pseudo-Almost Periodic Functions

Functional Analysis 2013-03-12 v2 Spectral Theory

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.

Cite

@article{arxiv.1012.3043,
  title  = {Doubly-Weighted Pseudo-Almost Periodic Functions},
  author = {Toka Diagana},
  journal= {arXiv preprint arXiv:1012.3043},
  year   = {2013}
}

Comments

First report

R2 v1 2026-06-21T16:58:27.491Z