Geodesic
$p$-Adic Nonorthogonal Wavelet Bases
Informatics and Automation, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 7-18

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A method for constructing MRA-based $p$-adic wavelet systems that form Riesz bases in $L^2(\mathbb Q_p)$ is developed. The method is implemented for an infinite family of MRAs. 
@article{TRSPY_2009_265_a0,
     author = {S. Albeverio and S. Evdokimov and M. Skopina},
     title = {$p${-Adic} {Nonorthogonal} {Wavelet} {Bases}},
     journal = {Informatics and Automation},
     pages = {7--18},
     publisher = {mathdoc},
     volume = {265},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a0/}
}
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S. Albeverio; S. Evdokimov; M. Skopina. $p$-Adic Nonorthogonal Wavelet Bases. Informatics and Automation, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 7-18. http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a0/