Weighted Gelfand pairs, weighted spherical Fourier transform and multipliers

Assèkè Y. Tissinam; Abudulaï Issa; Yaogan Mensah

Weighted Gelfand pairs, weighted spherical Fourier transform and multipliers

Functional Analysis 2024-06-10 v2

Authors: Assèkè Y. Tissinam , Abudulaï Issa , Yaogan Mensah

Abstract

A kind of generalized Gelfand pair is introduced via a Banach algebra consisting of bi-invariant functions in a weighted Lebesgue space. The related spherical functions and the Fourier transformation are constructed. The multipliers of the underlying algebra are characterized by this Fourier transformation.

Keywords

weighted Gelfand pairs weighted spherical Fourier transform multipliers Banach algebra bi-invariant functions

Cite

@article{arxiv.2406.03613,
  title  = {Weighted Gelfand pairs, weighted spherical Fourier transform and multipliers},
  author = {Assèkè Y. Tissinam and Abudulaï Issa and Yaogan Mensah},
  journal= {arXiv preprint arXiv:2406.03613},
  year   = {2024}
}

Comments

15 pages

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