English

Benedick's theorem for the Heisenberg group

Functional Analysis 2009-09-10 v1

Abstract

If ff is a compactly supported function on the Heisenberg group and the group Fourier transform f^(λ)\hat{f}(\lambda) is a finite rank operator for all λ\lambda then ff is the zero function.

Keywords

Cite

@article{arxiv.0909.1620,
  title  = {Benedick's theorem for the Heisenberg group},
  author = {E. K. Narayanan and P. K. Ratnakumar},
  journal= {arXiv preprint arXiv:0909.1620},
  year   = {2009}
}