An algebraic approach to discrete dilations . Application to discrete wavelet transformsJ

@inproceedings{P1998AnAA,
  title={An algebraic approach to discrete dilations . Application to discrete wavelet transformsJ},
  author={.-P. and Antoine and Y. B. and KOUAGOU},
  year={1998}
}
  • .-P., Antoine, +1 author KOUAGOU
  • Published 1998
We investigate the connections between continuous and discrete wavelet transforms on the basis of algebraic arguments. The discrete approach is formulated abstractly in terms of the action of a semidirect product A × Γ on `2(Γ), with Γ a lattice and A an abelian semigroup acting on Γ. We show that several such actions may be considered, and investigate those which may be written as deformations of the canonical one. The corresponding deformed dilations (the pseudodilations) turn out to be… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 24 references

M

K. Flornes, A. Grossmann
Holschneider and B. Torrésani • 1994
View 4 Excerpts
Highly Influenced

Gabor analysis over LCA groups, in Gabor Analysis and Algorithms

K. Gröchenig
1998
View 1 Excerpt

J

J.-P. Gazeau
Patera and E. Pelantová • 1998
View 1 Excerpt

Special issue on Wavelets and Time-Frequency Analysis

B. Torrésani
Journal of Mathematical Physics • 1998
View 1 Excerpt

Tau - wavelets in the plane

G. Weiss
J . Math . Phys . • 1998

W

R. Carmona
L. Hwang and B. Torrésani • 1998
View 1 Excerpt

Wavelet bases associated to a self similar quasicrystal

C. Bernuau
J. Math. Phys • 1998
View 1 Excerpt

On the pseudodilation representations of Flornes, Grossmann, Holschneider, and Torrésani

C. P. Johnston
J. Fourier Anal. Appl. , • 1997
View 1 Excerpt

A First Course on Wavelets

E. Hernández, G. Weiss
1996
View 1 Excerpt

Similar Papers

Loading similar papers…