Regular compactly supported wavelets in Sobolev spaces

Bastin, Françoise; Laubin, P.

doi:10.1215/S0012-7094-97-08716-0

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Regular compactly supported wavelets in Sobolev spaces

Bastin, Françoise; Laubin, P.

1997 • In Duke Mathematical Journal, 87 (3), p. 481-508

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/29461

DOI
10.1215/S0012-7094-97-08716-0

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Disciplines :

Mathematics

Author, co-author :

Bastin, Françoise ; Université de Liège - ULiège > Département de mathématique > Analyse, analyse fonctionnelle, ondelettes

Laubin, P.

Language :

English

Title :

Regular compactly supported wavelets in Sobolev spaces

Publication date :

1997

Journal title :

Duke Mathematical Journal

ISSN :

0012-7094

eISSN :

1547-7398

Publisher :

Duke Univ Press

Volume :

Issue :

Pages :

481-508

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 25 November 2009

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Bibliography

G. Battle, “Wavelets: a renormalization group point of view” in Wavelets and Their Applications, Jones and Bartlett, Boston, 1992, 323-349.
I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988), 909-996.
I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Regional Conf. Ser. in Appl. Math. 61, Society for Industrial and Applied Mathematics, Philadelphia, 1992.
S. Mallat, Multiresolution approximations and wavelet orthonormal bases of L2(R), Trans. Amer. Math. Soc. 315 (1989), 69-87.
Y. Meyer, Ondelettes et opérateurs, I, Actualités Math., Hermann, Paris, 1990.
W. Sweldens, The construction and application of wavelets in numerical analysis, Ph.D. thesis, Katholieke Universiteit Leuven, Belgium, 1994.
G. Walter, Wavelets and Other Orthogonal Systems with Applications, CRC Press, Boca Raton, Fla., 1994.
G. Walter, “Wavelets and generalized functions” in Wavelets, Wavelet Anal. Appl. 2, Academic Press, Boston, 1992, 51-70.

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