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A Local Weighted Average Sampling and Reconstruction Theorem over Shift Invariant Subspaces

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Abstract

We analyse a local average sampling and reconstruction problem over some shift invariant subspaces of \({L^{2}({\mathbb{R}})}\). We present certain necessary and sufficient conditions under which there is an average sampling expansion for both uniform sampling points and non-uniform sampling points.

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  1. Department of Mathematics, College of Engineering Guindy Campus, Anna University, Chennai, 600 025, India

    P. Devaraj & S. Yugesh

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  1. P. Devaraj
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  2. S. Yugesh
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Correspondence to S. Yugesh.

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Devaraj, P., Yugesh, S. A Local Weighted Average Sampling and Reconstruction Theorem over Shift Invariant Subspaces. Results Math 71, 319–332 (2017). https://doi.org/10.1007/s00025-016-0600-5

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