Eigenfunction of the laplacian as a degenerate case of a function with its fourier transform supported in an annulus
Publications of the Research Institute for Mathematical Sciences
The aim of this paper is to reach a characterization of the eigenfunction of the Laplace-Beltrami operator as a degenerate case of the inverse Paley-Wiener theorem (for functions whose Fourier transform is supported on a compact annulus) on the rank-1 Riemannian symmetric spaces of noncompact type. The most distinguished prototypes of these spaces are the hyperbolic spaces.
Sarkar, Rudra P., "Eigenfunction of the laplacian as a degenerate case of a function with its fourier transform supported in an annulus" (2018). Journal Articles. 1586.