Wavelets on the Interval and Sobolev's Spaces

S. Bertoluzza

In this paper we extend to wavelets on the interval, as introduced by Cohen Daubechies and Vial, some results of characterization of Sobolev spaces that hold for wavelets on the real line. In particular we show that, if the construction of wavelet on the interval is performed in the correct way, it is possible to characterize, by means of wavelet coefficients the spaces H^s_0 for s greater pr equal than 1 and H^s for negative values of s.

Pubbl. IAN n. 908 (1994)

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