On the p ‐adic spectral analysis and multiwavelet on L2(ℚpn)

We try to generalize an explicit construction for an orthonormal system of eigenfunctions of the Vladimirov operator on which was originally given by Vladimirov (1988). Also the multiwavelet analysis can be considered as the p ‐adic spectral analysis in , using in part the recent work of Kozyrev (20...

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Veröffentlicht in:International journal of mathematics and mathematical sciences 2003-01, Vol.2003 (41), p.2619-2633
Hauptverfasser: Chong, Wonyong, Kim, Min-Soo, Kim, Taekyun, Son, Jin-Woo
Format: Artikel
Sprache:eng
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Zusammenfassung:We try to generalize an explicit construction for an orthonormal system of eigenfunctions of the Vladimirov operator on which was originally given by Vladimirov (1988). Also the multiwavelet analysis can be considered as the p ‐adic spectral analysis in , using in part the recent work of Kozyrev (2002).
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171203301279