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

J. Bros, G. A. Viano

In a previous paper $[$B,V-1$]$, an algebra of holomorphic ``perikernels'' on a complexified hyperboloid $X_{d-1}^{(c)}$ (in ${\mathbb{C}}^d)$ has been introduced; each perikernel $ {\…