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Generalized Multiresolution Structures in Reducing Subspaces of Local Fields

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Abstract

In this article, we introduce the notion of general multiresolution structure (GMS) in the reducing subspace over local fields. We show that the GMS is admitted by an arbitrary reducing subspace and characterize all those GMSs which admit a pyramids decomposition. Towards the culmination, we obtain a frame-like expansion for signals in reducing subspaces in terms of GMS over local fields.

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  1. Department of Mathematics, National Institute of Technology, Srinagar, 190006, India

    Owais Ahmad & Neyaz Ahmad Sheikh

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  1. Owais Ahmad
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  2. Neyaz Ahmad Sheikh
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Ahmad, O., Sheikh, N.A. Generalized Multiresolution Structures in Reducing Subspaces of Local Fields. Acta. Math. Sin.-English Ser. 38, 2163–2186 (2022). https://doi.org/10.1007/s10114-022-1291-3

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  • DOI: https://doi.org/10.1007/s10114-022-1291-3

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