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Characterizations of multiframelets on \(\mathbb {Q}_{p}\)

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Abstract

This article presents a discussion on p-adic multiframe by means of its wavelet structure, called as multiframelet, which is build upon p-adic wavelet construction. Various properties of multiframelet sequence in \(L^{2}(\mathbb {Q}_{p})\) have been analyzed. Furthermore, multiframelet in \(\mathbb {Q}_{p}\) has been engendered and scrutinized through several properties of associated multiframelet operator, erasure and Paley-Wiener type perturbation of corresponding multiframelet components.

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Acknowledgements

The authors acknowledge the financial support of the Ministry of Human Resource Development (M.H.R.D.), Government of India. Furthermore, they would like to express their sincere gratitude to Dr. Divya Singh and Dr. Saikat Mukherjee for their guidance to prepare this article.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, India

    Debasis Haldar

  2. Department of Mathematics, National Institute of Technology Meghalaya, Shillong, 793003, India

    Animesh Bhandari

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  1. Debasis Haldar
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  2. Animesh Bhandari
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Correspondence to Animesh Bhandari.

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Haldar, D., Bhandari, A. Characterizations of multiframelets on \(\mathbb {Q}_{p}\). Anal.Math.Phys. 10, 75 (2020). https://doi.org/10.1007/s13324-020-00422-y

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  • DOI: https://doi.org/10.1007/s13324-020-00422-y

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