English

Bargmann transform on the space of hyperplanes

Functional Analysis 2022-01-26 v3

Abstract

We introduce a Bargmann transform on the space of hyperplanes by applying the Plancherel formula of the Radon transform to the definition of the Bargmann transform on the Euclidean space. Some basic facts on microlocal analysis are also discussed.

Keywords

Cite

@article{arxiv.2007.12365,
  title  = {Bargmann transform on the space of hyperplanes},
  author = {Hiroyuki Chihara},
  journal= {arXiv preprint arXiv:2007.12365},
  year   = {2022}
}

Comments

15 pages, no figure, major change

R2 v1 2026-06-23T17:22:07.554Z