Wavelets obtained by continuous deformations of the Haar wavelet.

Título inglés Wavelets obtained by continuous deformations of the Haar wavelet.
Título español Ondículas obtenidas por deformaciones continuas de la ondícula de Haar.
Autor/es Bonami, Aline ; Durand, Sylvain ; Weiss, Guido
Organización Univ. Orléans, Orléans, Francia;Washington Univ. Saint Louis, Saint Louis (Missouri), Estados Unidos
Revista 0213-2230
Publicación 1996, 12 (1): 1-18, 8 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés One might obtain the impression, from the wavelet literature, that the class of orthogonal wavelets is divided into subclasses, like compactly supported ones on one side, band-limited ones on the other side. The main purpose of this work is to show that, in fact, the class of low-pass filters associated with reasonable (in the localization sense, not necessarily in the smooth sense) wavelets can be considered to be an infinite dimensional manifold that is arcwise connected. In particular, we show that any such wavelet can be connected in this way to the Haar wavelet.
Clasificación UNESCO 120213
Palabras clave español Ondículas ; Tratamiento de señales ; Espacios de Frechet ; Filtro paso-bajo ; Transformada de Fourier
Código MathReviews MR1387583
Código Z-Math Zbl 0892.42020
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