English

What is the JEFT?

Functional Analysis 2024-12-17 v1

Abstract

The JEFT is the acronym for the Joint-Eigenspace Fourier Transform defined on a noncompact symmetric space. It is a consequence of a general construction of a Fourier transform modelled on the Harish-Chandra Fourier transform (on a semi-simple Lie group with finite centre) which (on the corresponding symmetric space of the noncompact type) serves as the Poisson-completion of the famous Helgason Fourier transform

Cite

@article{arxiv.2412.10377,
  title  = {What is the JEFT?},
  author = {O. O. Oyadare},
  journal= {arXiv preprint arXiv:2412.10377},
  year   = {2024}
}
R2 v1 2026-06-28T20:34:31.446Z