English

Sampling theorem and reconstruction formula for the space of translates on the Heisenberg group

Functional Analysis 2019-02-06 v1

Abstract

The paper deals with the necessary and sufficient conditions for obtaining reconstruction formulae and sampling theorems for every function belonging to the principal shift invariant subspace of L2(Hn)L^2(\mathbb{H}^n), both in the time domain and a transform domain, where Hn\mathbb{H}^n denotes the Heisenberg group.

Keywords

Cite

@article{arxiv.1902.01531,
  title  = {Sampling theorem and reconstruction formula for the space of translates on the Heisenberg group},
  author = {S. Arati and R. Radha},
  journal= {arXiv preprint arXiv:1902.01531},
  year   = {2019}
}