International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 41, Pages 2619-2633
doi:10.1155/S0161171203301279

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

Wonyong Chong,1 Min-Soo Kim,2 Taekyun Kim,3 and Jin-Woo Son2

1Department of Information and Communication Engineering, Kyungnam University, Masan 631-701, South Korea
2Department of Mathematics, Kyungnam University, Masan 631-701, South Korea
3Institute of Science Education, Kongju National University, Kongju 314-701, South Korea

Received 20 January 2003

Copyright © 2003 Wonyong Chong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We try to generalize an explicit construction for an orthonormal system of eigenfunctions of the Vladimirov operator on L2(ℚpn) which was originally given by Vladimirov (1988). Also the multiwavelet analysis can be considered as the p-adic spectral analysis in L2(ℚpn), using in part the recent work of Kozyrev (2002).