A Riesz basis of wavelets and its dual with quintic deficient splines

Bastin, Françoise

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A Riesz basis of wavelets and its dual with quintic deficient splines

Bastin, Françoise

2006 • In Note di Matematica, 25 (1), p. 55-62

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Keywords :

wavelets; quintic deficient splines; Riesz basis; dua basis

Abstract :

[en] In this note, the dual of the Riesz basis of quintic splines obtained by Bastin and Laubin in [1] is explicitely constructed. ([1]=Quintic deficient splines wavelets, in Bull. Soc. Roy. Sc. Liège, Vol. 71 (3), 2002, 121-144)

Disciplines :

Mathematics

Author, co-author :

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

Language :

English

Title :

A Riesz basis of wavelets and its dual with quintic deficient splines

Publication date :

2006

Journal title :

Note di Matematica

ISSN :

1123-2536

eISSN :

1590-0932

Publisher :

Pitagora, Bologna, Italy

Volume :

Issue :

Pages :

55-62

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 20 November 2009

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Bibliography

F. Bastin, P. Laubin: Quintic deficient splinewavelets, Bull. Soc. Roy. Sc. Liège, Vol 71 (3), 2002, 121-144.
Wavelets: mathematics and applications, Studies in advanced mathematics, CRC 1994, edited by John J. Benedetto, Michael W. Frazier.
C.K. Chui, J.Z. Wang: On compactly supported spline wavelets and a duality principle, Trans. Amer. Math. Soc., 330, 2, 1992, 903-915.
I. Daubechies: Ten lectures on wavelets, CBMS 61, Siam, 1992.
O. Gilson, O. Faure, P. Laubin: Quasi-optimal convergenceusing interpolation by non- uniform deficient splines, to appear in the Journal of Concrete and Applicable Mathematics 2003.
T.N.T. Goodman, S.L. Lee: Wavelets of multiplicity r, Trans.Amer. Math. Soc. 342, 1, 1994, 307-324
T.N.T. Goodman, S.L. Lee, W.S. Tang: Wavelets in wanderingsubspaces, Trans. Amer. Math. Soc., 338, 2, 1993, 639-654
Y. Meyer: Ondelettes et opérateurs, I,II,III, Hermann, Paris, 1990.
S.S. Rana, Y.P. Dubey: Best error bounds of deficient quintic splines interpolation, Indian J. Pure Appl. Math., 28, 1997, 1337-1344