Spherical representation of solutions of invariant differential equations on a~Riemannian symmetric space of noncompact type

P. A. Kuchment

Izvestiya. Mathematics , Tome 27 (1986) no. 3, pp. 535-548.

Résumé

An analogue of the exponential representation is obtained for solutions of invariant differential equations on spaces of the type indicated in the title. Solutions are considered which transform according to finite-dimensional representations of a maximal compact subgroup of the group of motions. The case of equations on an associated space of zero curvature is also considered. Bibliography: 34 titles.

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