Chennai Mathematical Institute


3.30 p.m.
L^2-theory for certain hypergeometrical Fourier transforms

Pasquale Angela
Universite Paul Verlaine - Metz, France.


A classical theorem states that the Fourier transform gives an isomorphism between the space of $L^2$ functions on the positive real half line and the Hardy space of holomorphic functions on a half plane. In this talk we generalize this result to certain hypergeometrical transforms associated with symmetric spaces.