Abstract
This paper concerns itself with a differential equation which arises in the determination of the eigenfunctions of the Beltrami-Laplace operator on homogeneous symmetric spaces of rank 1. It is related to the Whittaker equation, and its coefficients are quadratic forms which do not depend on the variable of differentiation. All of the solutions of this equation in a space of generalized functions with restricted growth are described.Bibliography: 7 titles.
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