English

Some remarks on a proof of geometrical Paley-Wiener theorems for the Dunkl transform

Classical Analysis and ODEs 2023-05-31 v3 Representation Theory

Abstract

We argue that a proof of the geometrical form of the Paley-Wiener theorems for the Dunkl transform in the literature is not correct.

Keywords

Cite

@article{arxiv.math/0404293,
  title  = {Some remarks on a proof of geometrical Paley-Wiener theorems for the Dunkl transform},
  author = {Marcel de Jeu},
  journal= {arXiv preprint arXiv:math/0404293},
  year   = {2023}
}

Comments

LaTeX, 3 pages. Concrete description of the technical mistake in Trimeche's proof has been added (also applicable to (5.14) in math.CA/0405050 v1)