Abstract :
For an arbitrary spherical function fym we expand fym Iryx.into a spherical
series on the open unit ball D for the spectral norm in Cr=r. We also obtain
some interesting corollaries. In particular, we compute the spherical transform of
fym Irqx.
Keywords :
spherical Taylor formula , spherical transform , Ramanujan’s master theorem , Symmetric cone , Jordan algebra , Spherical polynomial , Sphericalfunction , complex matrix space , Carlson’s uniqueness theorem , binomial expansion