Eigenspaces of the Laplace-Beltrami operator on a hyperboloid
Eigenspaces of the Laplace-Beltrami operator on a hyperboloid
Ever since S. Helgason [4] showed that any eigenfunction of the Laplace-Beltrami operator on the unit disk is represented by the Poisson integral of a hyperfunction on the unit circle, much interest has been arisen to the study of the Poisson integral representation of joint eigenfunctions of all invariant differential …