Continuous wavelet transform on semisimple Lie groups and inversion of the Abel transform and its dual.
Trimèche, K.
Collectanea Mathematica, Tome 47 (1996), p. 231-268 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

In this work we define and study wavelets and continuous wavelet transform on semisimple Lie groups G of real rank l. We prove for this transform Plancherel and inversion formulas. Next using the Abel transform A on G and its dual A*, we give relations between the continuous wavelet transform on G and the classical continuous wavelet transform on Rl, and we deduce the formulas which give the inverse operators of the operators A and A*.

Publié le : 1996-01-01
DMLE-ID : 297 
@article{urn:eudml:doc:40339,
     title = {Continuous wavelet transform on semisimple Lie groups and inversion of the Abel transform and its dual.},
     journal = {Collectanea Mathematica},
     volume = {47},
     year = {1996},
     pages = {231-268},
     zbl = {0865.43006},
     mrnumber = {MR1437654},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40339}
}

Trimèche, K. Continuous wavelet transform on semisimple Lie groups and inversion of the Abel transform and its dual.. Collectanea Mathematica, Tome 47 (1996) pp. 231-268. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40339/