On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group

A. A. Kalyuzhnyi; G. B. Podkolzin; Yu. A. Chapovsky

On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group

Functional Analysis 2017-09-06 v1 Group Theory

Authors: A. A. Kalyuzhnyi , G. B. Podkolzin , Yu. A. Chapovsky

Abstract

We prove that the Fourier space of a hypergroup constructed from a conditional expectation on a locally compact group has a Banach algebra structure.

Keywords

fourier algebra hypergroup conditional expectation locally compact group banach algebra structure fourier space

Cite

@article{arxiv.1709.01196,
  title  = {On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group},
  author = {A. A. Kalyuzhnyi and G. B. Podkolzin and Yu. A. Chapovsky},
  journal= {arXiv preprint arXiv:1709.01196},
  year   = {2017}
}