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

Author

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  • Wonyong Chong
  • Min-Soo Kim
  • Taekyun Kim
  • Jin-Woo Son

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).

Suggested Citation

  • Wonyong Chong & Min-Soo Kim & Taekyun Kim & Jin-Woo Son, 2003. "On the p -adic spectral analysis and multiwavelet on L 2 ( ℚ p n )," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-15, January.
    • Handle: RePEc:hin:jijmms:708230
    DOI: 10.1155/S0161171203301279
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