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arXiv · 0711.2820

p-Adic refinable functions and MRA-based wavelets

A. Yu. Khrennikov·V. M. Shelkovich·M. Skopina
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Abstract

We described a wide class of $p$-adic refinable equations generating $p$-adic multiresolution analysis. A method for the construction of $p$-adic orthogonal wavelet bases within the framework of the MRA theory is suggested. A realization of this method is illustrated by an example, which gives a new 3-adic wavelet basis. Another realization leads to the $p$-adic Haar bases which were known before.

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A. Yu. Khrennikov, V. M. Shelkovich, M. Skopina. 2007-11-18. p-Adic refinable functions and MRA-based wavelets. https://arxiv.org/abs/0711.2820

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