On Dual Wavelet Tight Frames

  title={On Dual Wavelet Tight Frames},
  author={Bin Han},
A characterization of multivariate dual wavelet tight frames for any general dilation matrix is presented in this paper. As an application, Lawton’s result on wavelet tight frames in L(IR) is generalized to the n-dimensional case. Two ways of constructing certain dual wavelet tight frames in L(IR) are suggested. Finally examples of smooth wavelet tight frames in L(IR) and H(IR) are provided. In particular, an example is given to demonstrate that there is a function ψ, whose Fourier transform is… CONTINUE READING

From This Paper

Topics from this paper.


Publications citing this paper.
Showing 1-10 of 88 extracted citations


Publications referenced by this paper.
Showing 1-10 of 20 references

Some Applications of Projection Operators in WaveletsBin

Main ResultsIn I. Daubechies, P. G. Lemari
View 8 Excerpts
Highly Influenced

On a Littlewood-Paley Identify and Characterization of Wavelets

K ChuiC., X. Shi
Math. Anal. Appl • 1993
View 6 Excerpts
Highly Influenced

Ten Lectures on Wavelets, SIAM-NSF Regional Conference Series

I. Daubechies
SIAM publ • 1992
View 5 Excerpts
Highly Influenced

n’existe pas de bases d’ondelettes regulières dans l’espace de Hardy H2(R)

P Auscher, Il
C. R. Acad. Sci. Paris, t. 315, serie I, • 1992
View 4 Excerpts
Highly Influenced

Ondelettes et Opérateurs

Y. Meyer
View 4 Excerpts
Highly Influenced

Affine Systems in L2(IR ) : the Analysis of the Analysis Operator

A Ron, Z. Shen
View 2 Excerpts

Projecteurs Invariants, Matrices de Dilation, Ondelettes de Dimension n et Analysis Multi-Résolutions

P G.Lemarié-Rieusset
Rev. Mat. Iberoamericana, • 1994
View 2 Excerpts

Bessel Sequences and Affine Frames

K. ChuiC.
Appl . Comp . Harmonic Anal . • 1993

Construction of Compact p-Wavelets

V WellendG., M. Lundberg
Constr. Approx • 1993
View 1 Excerpt

Similar Papers

Loading similar papers…