Ramanujan's master theorem for radial sections of line bundle over noncompact symmetric spaces

Sanjoy Pusti, Swagato K Ray

Published 2018-08-30Version 1

We prove analogues of Ramanujan's Master theorem for the radial sections of the line bundles over the Poincar\'{e} upper half plane $\mathrm{SL}(2, \R)/\mathrm{SO}(2)$ and over the complex hyperbolic spaces $\mathrm {SU}(1, n)/ S(\mathrm{U}(1) \times \mathrm{U}(n))$.