an:01463771
Zbl 1014.22010
Pasquale, Angela
A Paley-Wiener theorem for the inverse spherical transform
EN
Pac. J. Math. 193, No. 1, 143-176 (2000).
1945-5844 0030-8730
2000
j
22E30 43A80 46F99
Paley-Wiener theorem; inverse spherical transform; semisimple Lie groups; inversion formula; Abel transform
A Paley-Wiener theorem for the inverse spherical transform is proved for noncompact semisimple Lie groups which are either of rank one or have a complex structure. The proof relies on the explicit inversion formula for the Abel transform due to RouviÃ¨re and Gangolli.
A.L.Brodskij (Severodonetsk)