Voir la notice de l'article provenant de la source Math-Net.Ru
@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/} }
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/
[1] Mallat S., Multiresolution representation and wavelets, Ph. D. Thes., Univ. Pennsylvania, Philadelphia, PA, 1988
[2] Meyer Y., Ondelettes et fonctions splines, Sémin. équations dériv. partielles 1986–1987; Exp. 6, École Polytech., Palaiseau, 1987 | MR
[3] Kozyrev S. V., “Teoriya vspleskov kak $p$-adicheskii spektralnyi analiz”, Izv. RAN. Ser. mat., 66:2 (2002), 149–158 ; arxiv: math-ph/0012019 | DOI | MR | Zbl
[4] Daubechies I., Ten lectures on wavelets, CBMS-NSF Reg. Conf. Ser. Appl. Math., 61, SIAM, Philadelphia, PA, 1992 | MR | Zbl
[5] Kozyrev S. V., “$p$-Adicheskie psevdodifferentsialnye operatory i $p$-adicheskie vspleski”, TMF, 138:3 (2004), 383–394 | DOI | MR | Zbl
[6] Benedetto J. J., Benedetto R. L., “A wavelet theory for local fields and related groups”, J. Geom. Anal., 14:3 (2004), 423–456 | DOI | MR | Zbl
[7] Benedetto R. L., “Examples of wavelets for local fields”, Wavelets, frames, and operator theory (College Park, MD, 2003), Amer. Math. Soc., Providence, RI, 2004, 27–47 | DOI | MR | Zbl
[8] Khrennikov A. Yu., Shelkovich V. M., $p$-Adic multidimensional wavelets and their application to $p$-adic pseudo-differential operators, E-print , 2006 arxiv: math-ph/0612049
[9] Shelkovich V. M., Skopina M., “$p$-Adic Haar multiresolution analysis and pseudo-differential operators”, J. Fourier Anal. and Appl., 2009 (to appear) ; arxiv: 0705.2294 | MR | Zbl
[10] Khrennikov A. Yu., Shelkovich V. M., Skopina M., “$p$-Adic refinable functions and MRA-based wavelets”, J. Approx. Theory, 2009 (to appear) ; arxiv: 0711.2820 | MR
[11] Albeverio S., Evdokimov S., Skopina M., $p$-Adic multiresolution analyses, E-print , 2008 arxiv: 0810.1147
[12] Novikov I. Ya., Protasov V. Yu., Skopina M. A., Teoriya vspleskov, Fizmatlit, M., 2005 | Zbl
[13] Vladimirov V. S., Volovich I. V., Zelenov E. I., $p$-Adicheskii analiz i matematicheskaya fizika, Nauka, M., 1994 | MR
[14] Kashin B. S., Saakyan A. A., Ortogonalnye ryady, AFTs, M., 1999 | MR | Zbl
[15] Evdokimov S. A., Skopina M. A., “2-Adicheskie bazisy vspleskov”, Tr. Inst. mat. i mekh. UrO RAN, 15, no. 1, 2009, 135–146