Wavelet analysis as a p-adic spectral analysis

@article{Kozyrev2008WaveletAA,
  title={Wavelet analysis as a p-adic spectral analysis},
  author={Sergei Kozyrev},
  journal={arXiv: Mathematical Physics},
  year={2008}
}
  • S. Kozyrev
  • Published 9 December 2000
  • Mathematics
  • arXiv: Mathematical Physics
New orthonormal basis of eigenfunctions for the Vladimirov operator of p–adic fractional derivation is constructed. The map of p–adic numbers onto real numbers (p–adic change of variable) is considered. p–Adic change of variable maps the Haar measure on p–adic numbers onto the Lebesgue measure on the positive semiline. p–Adic change of variable (for p = 2) provides an equivalence between the constructed basis of eigenfunctions of the Vladimirov operator and the wavelet basis in L 2 (R… 

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