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[en] Let G be a semisimple connected Lie group with finite centre, K a maximal compact subgroup of G, and M=G/K a Riemannian symmetric space of non-compact type. We study the problem of describing the structure of closed linear subspaces in various function spaces on M that are invariant under the quasiregular representation of the group G. We consider the case when M is a symplectic symmetric space of rank 1
Journal
Izvestiya. Mathematics; ISSN 1064-5632; 
; v. 62(2); p. 339-374
; v. 62(2); p. 339-374