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Unconditional bases of wavelets in local fields

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Abstract

We provide sufficient conditions on the wavelets on a local field K for the wavelet system to form an unconditional basis for the Hardy space H1(K) and the Lebesgue spaces Lp(K), 1 < p < ∞.

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Acknowledgement

The author thanks the referee for his/her suggestions which improved the overall presentation of the article.

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  1. Statistics and Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700108, India

    B. Behera

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  1. B. Behera
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Behera, B. Unconditional bases of wavelets in local fields. Anal Math 46, 173–193 (2020). https://doi.org/10.1007/s10476-020-0027-9

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  • DOI: https://doi.org/10.1007/s10476-020-0027-9

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