Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: An analytic continuation viewpoint .2.

We study the action of Radon-type integral transformations on the one-sheeted hyperboloid X(d-1) and on the associated complex quadric X(d-1)((c)). Classes of invariant Volterra kernels and perikernels with moderate growth are transformed into subspaces of holomorphic functions whose Fourier-Laplace analysis has been treated in Part I.