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arXiv · 2011.04712

Sampling in the range of the analysis operator of a continuous frame having unitary structure

Antonio G. García
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Abstract

We establish a regular sampling theory in the range of the analysis operator of a continuous frame having a unitary structure. The unitary structure is related with a unitary representation of a locally compact abelian group on a separable Hilbert space. The samples are defined by means of suitable discrete convolution systems which generalize some usual sampling settings; here regular sampling means that the samples are taken at a countable discrete subgroup.

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Antonio G. García. 2020-11-09. Sampling in the range of the analysis operator of a continuous frame having unitary structure. https://arxiv.org/abs/2011.04712

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