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

S. Arati, R. Radha

Published 2019-02-05Version 1

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 $L^2(\mathbb{H}^n)$, both in the time domain and a transform domain, where $\mathbb{H}^n$ denotes the Heisenberg group.