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Titlebook: Wavelet Analysis on Local Fields of Positive Characteristic; Biswaranjan Behera,Qaiser Jahan Book 2021 The Editor(s) (if applicable) and T

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https://doi.org/10.1007/978-981-16-7881-3wavelet analysis; harmonic analysis; Fourier analysis; analysis on local fields; co-affine frames; quasi-
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978-981-16-7883-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Wavelet Analysis on Local Fields of Positive Characteristic978-981-16-7881-3Series ISSN 2523-3114 Series E-ISSN 2523-3122
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Wavelet Packets and Frame Packets,al case, we define the concept of biorthogonal wavelet packets and show that they provide Riesz bases as long as the splitting procedure is applied finitely many times. We also find necessary conditions when we assume that the biorthogonal packets are uniformly bounded.
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Shift-Invariant Spaces and Wavelets, a countable family . in . such that . is a direct sum of .s and the .-translates of each . form a Parseval frame for the subspace they span. Finally, we use these results to give a characterization of wavelets on local fields of positive characteristic.
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