On the p -adic spectral analysis and multiwavelet on L 2 ( ℚ p n )

Wonyong Chong, Min-Soo Kim, Taekyun Kim and Jin-Woo Son

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-15

Abstract:

We try to generalize an explicit construction for an orthonormal system of eigenfunctions of the Vladimirov operator on L 2 ( ℚ p n ) which was originally given by Vladimirov (1988). Also the multiwavelet analysis can be considered as the p -adic spectral analysis in L 2 ( ℚ p n ) , using in part the recent work of Kozyrev (2002).

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:708230

DOI: 10.1155/S0161171203301279

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