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

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

References in corpus (1)

• Shift-invariant Spaces with Countably Many Mutually Orthogonal Generators on the Heisenberg group