English

Hardy's Theorem for Gabor transform

Representation Theory 2017-04-04 v2

Abstract

We establish analogues of Hardy's theorem for Gabor transform on locally compact abelian groups, Euclidean motion group and several general classes of nilpotent Lie groups which include Heisenberg groups, thread-like nilpotent Lie groups, 22-NPC nilpotent Lie groups and low-dimensional nilpotent Lie groups.

Keywords

Cite

@article{arxiv.1603.02784,
  title  = {Hardy's Theorem for Gabor transform},
  author = {Ashish Bansal and Ajay Kumar},
  journal= {arXiv preprint arXiv:1603.02784},
  year   = {2017}
}

Comments

This paper has been withdrawn by the author as there are some gaps in a proof

R2 v1 2026-06-22T13:07:00.043Z