Wavelets on Discrete Fields
Flornes, Kristin ; Grossmann, Alex ; Holschneider, Matthias ; Torrésani, Bruno
HAL, hal-01221478 / Harvested from HAL
Text on HAL
An arithmetic version of continuous wavelet analysis is described. Starting from a square-integrable representation of the affine group of Z Z p (or Z Z) it is shown how wavelet decom-positions of ℓ 2 (Z Z p) can be obtained. Moreover, a redefinition of the dilation operator on ℓ 2 (Z Z p) directly yields an algorithmic structure similar to that appearing with multiresolution analyses.
Publié le : 1994-07-04
Classification:  [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM],  [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing 
@article{hal-01221478,
     author = {Flornes, Kristin and Grossmann, Alex and Holschneider, Matthias and Torr\'esani, Bruno},
     title = {Wavelets on Discrete Fields},
     journal = {HAL},
     volume = {1994},
     number = {0},
     year = {1994},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01221478}
}

Flornes, Kristin; Grossmann, Alex; Holschneider, Matthias; Torrésani, Bruno. Wavelets on Discrete Fields. HAL, Tome 1994 (1994) no. 0, . http://gdmltest.u-ga.fr/item/hal-01221478/