Geodesic
Spherical representation of solutions of invariant differential equations on a~Riemannian symmetric space of noncompact type
Izvestiya. Mathematics , Tome 27 (1986) no. 3, pp. 535-548

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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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     author = {P. A. Kuchment},
     title = {Spherical representation of solutions of invariant differential equations on {a~Riemannian} symmetric space of noncompact type},
     journal = {Izvestiya. Mathematics },
     pages = {535--548},
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     volume = {27},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1986_27_3_a5/}
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P. A. Kuchment. Spherical representation of solutions of invariant differential equations on a~Riemannian symmetric space of noncompact type. Izvestiya. Mathematics , Tome 27 (1986) no. 3, pp. 535-548. http://geodesic.mathdoc.fr/item/IM2_1986_27_3_a5/