English

About a theorem of Wiener on the Bessel-Kingman Hypergroup

Classical Analysis and ODEs 2016-02-22 v1 Functional Analysis

Abstract

A theorem of Wiener on the circle group was strengthened and extended by Fournier in [2] to locally compact abelian groups and extended further to the Bessel-Kingman hypergroup with parameter {\alpha} = 1 / 2 by Bloom/Fournier/Leinert in [1]. We further extend this theorem to Bessel-Kingman hypergroups with parameter {\alpha} > 1 / 2 .

Keywords

Cite

@article{arxiv.1602.06119,
  title  = {About a theorem of Wiener on the Bessel-Kingman Hypergroup},
  author = {Lukas Innig},
  journal= {arXiv preprint arXiv:1602.06119},
  year   = {2016}
}