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- W2805248712 abstract "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 variables) is considered. This map (for p=2) provides an equivalence between the constructed basis of eigenfunctions of the Vladimirov operator and the wavelet basis in L^2(R) generated from the Haar wavelet. This means that the wavelet analysis can be considered as a p-adic spectral analysis." @default.
- W2805248712 created "2018-06-13" @default.
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- W2805248712 date "2000-12-09" @default.
- W2805248712 modified "2023-09-27" @default.
- W2805248712 title "Wavelet analysis as a p-adic harmonic analysis" @default.
- W2805248712 hasPublicationYear "2000" @default.
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