p-Adic refinable functions and MRA-based wavelets

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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.
10 pages

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General Mathematics, Mathematical Physics, Primary 11S80, 42C40; Secondary 11E95

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http://salesiana.dossiersoluciones.com/handle/123456789/142395

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2820
 http://arxiv.org/abs/0711.2820

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arXiv