Geodesic
New constructions of piecewise-constant wavelets
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 138-157.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The classical Haar wavelet system of is commonly considered to be very local in space. We $\sterling $########$${\S}$$###$\copyright \ddot $ introduce and study in this paper piecewise-constant framelets (PCF) that include the Haar system as a special case.
Classification : 42C15, 42C40
Keywords: frames, framelets, wavelets, Haar wavelets, piecewise-constant wavelets, PCF, Besov spaces, unitary extension principle 
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     author = {Hur, Youngmi and Ron, Amos},
     title = {New constructions of piecewise-constant wavelets},
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Hur, Youngmi; Ron, Amos. New constructions of piecewise-constant wavelets. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 138-157. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a22/