Geodesic
Biorthogonal wavelets, MRA's and shift-invariant spaces
Marcin Bownik1 ; Gustavo Garrigós2
1 Department of Mathematics University of Michigan 525 East University Ann Arbor, MI 48109, U.S.A.
2 Departamento de Matemáticas C-XV Universidad Autónoma de Madrid Ciudad Universitaria Cantoblanco 28049, Madrid, Spain
Studia Mathematica, Tome 160 (2004) no. 3, pp. 231-248

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give a characterization of biorthogonal wavelets arising from MRA's of multiplicity $D$ entirely in terms of the dimension function. This improves the previous characterization in [8] removing an unnecessary angle condition. Besides we characterize Riesz wavelets arising from MRA's, and present new proofs based on shift-invariant space theory, generalizing the 1-dimensional results appearing in [17].
DOI : 10.4064/sm160-3-3
Keywords: characterization biorthogonal wavelets arising mras multiplicity entirely terms dimension function improves previous characterization removing unnecessary angle condition besides characterize riesz wavelets arising mras present proofs based shift invariant space theory generalizing dimensional results appearing

Marcin Bownik 1 ; Gustavo Garrigós 2

1 Department of Mathematics University of Michigan 525 East University Ann Arbor, MI 48109, U.S.A.
2 Departamento de Matemáticas C-XV Universidad Autónoma de Madrid Ciudad Universitaria Cantoblanco 28049, Madrid, Spain 
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Marcin Bownik; Gustavo Garrigós. Biorthogonal wavelets, MRA's and
 shift-invariant spaces. Studia Mathematica, Tome 160 (2004) no. 3, pp. 231-248. doi: 10.4064/sm160-3-3

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