English

After Plancherel formula

Representation Theory 2019-10-25 v1 Functional Analysis

Abstract

We discuss two topics related to Fourier transforms on Lie groups and on homogeneous spaces: the operational calculus and the Gelfand--Gindikin problem (program) about separation of non-uniform spectra. Our purpose is to indicate some non-solved problems of non-commutative harmonic analysis that definitely are solvable. This is a sketch of my talks on VI School "Geometry and Physics", Bialowieza, Poland, June 2017.

Keywords

Cite

@article{arxiv.1801.08780,
  title  = {After Plancherel formula},
  author = {Yury A. Neretin},
  journal= {arXiv preprint arXiv:1801.08780},
  year   = {2019}
}

Comments

11p

R2 v1 2026-06-22T23:57:56.282Z