English

Poisson type generators for L^1(R)

Classical Analysis and ODEs 2008-04-22 v1 Functional Analysis

Abstract

We characterize the discrete sets L of the real line such that {f(t-l), l in L} span L^1(R), f being an L^1(R)-function whose Fourier transform behaves like the one of the Poisson function.

Keywords

Cite

@article{arxiv.0804.3252,
  title  = {Poisson type generators for L^1(R)},
  author = {Gerard Ascensi and Joaquim Bruna},
  journal= {arXiv preprint arXiv:0804.3252},
  year   = {2008}
}

Comments

Submitted to The Journal of Fourier Analysis and Applications

R2 v1 2026-06-21T10:33:00.185Z