  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 $\mathrm {SU}(1, n)/
S(\mathrm{U}(1) \times \mathrm{U}(n))$.
