Eigenfunction of the laplacian as a degenerate case of a function with its fourier transform supported in an annulus
Article Type
Research Article
Publication Title
Publications of the Research Institute for Mathematical Sciences
Abstract
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.
First Page
351
Last Page
378
DOI
10.4171/PRIMS/54-2-4
Publication Date
1-1-2018
Recommended Citation
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.
https://digitalcommons.isical.ac.in/journal-articles/1586