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Biorthogonal Wavelet Packets in \(H^s(\mathbb {K})\)

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Abstract

The concepts of multiresolution analysis(MRA), wavelets, and biorthogonal wavelets in Sobolev space over local fields of positive characteristic (\(H^s(\mathbb {K})\)) are developed by Pathak and Singh [8, 9]. In this paper, we constructed biorthogonal wavelet packets in Sobolev space \(H^s(\mathbb {K})\) and derived their biorthogonality at each level by means of Fourier transform.

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Acknowledgements

The work of first author is supported by the CSIR Grant No: 09/013(0647)/2016 - EMR - 1, New Delhi.

Funding

The work of second author is supported by the CSIR Grant No: 09/013(0647)/2016 - EMR - 1, New Delhi.

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Authors and Affiliations

  1. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, 221005, Uttar Pradesh, India

    Guru P. Singh & Ashish Pathak

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  1. Guru P. Singh
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  2. Ashish Pathak
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All authors read and approved the final manuscript.

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Correspondence to Ashish Pathak.

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Singh, G.P., Pathak, A. Biorthogonal Wavelet Packets in \(H^s(\mathbb {K})\). Int. J. Appl. Comput. Math 8, 4 (2022). https://doi.org/10.1007/s40819-021-01154-8

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  • DOI: https://doi.org/10.1007/s40819-021-01154-8

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