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arXiv · 1902.01531

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

S. Arati·R. Radha
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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.

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S. Arati, R. Radha. 2019-02-05. Sampling theorem and reconstruction formula for the space of translates on the Heisenberg group. https://arxiv.org/abs/1902.01531

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