Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type

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A basic exact sequence by Harish-Chandra related to the invariant differential operators on a Riemannian symmetric space G/K is generalized for each K-type in a certain class which we call `single-petaled'. The argument also includes a further generalization of Broer's generalization of the Chevalley restriction theorem.
34 pages, AMS-LaTeX, txfonts.sty, mathrsfs.sty

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