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References
Ban, van den, E.P., Schlichtkrull, H.: Asymptotic expansions and boundary values of eigenfunctions on a Riemannian symmetric space. J. Reine Angew. Math.380, 108–165 (1987)
Baouendi, M.S., Goulaouic, G.: Cauchy problems with characteristic initial hypersurface. Commun. Pure Appl. Math.26, 455–475 (1973)
Casselman, W., Miličić, D.: Asymptotic behaviour of matrix coefficients of admissible representations. Duke Math. J.49, 869–930 (1982)
Harish-Chandra: Spherical functions on a semisimple Lie group. Am. J. Math.80, 241–310, 553–613 (1958)
Harish-Chandra: Harmonic analysis on real reductive groups I. The theory of the constant term. J. Funct. Anal.19, 103–204 (1975)
Kashiwara, M., Oshima, T.: Systems of differential equations with regular singularities and their boundary values. Ann. Math.106, 145–200 (1977)
Kostant, B.: On the existence and irreducibility of certain series of representations. In: Lie groups and their representations (I.M. Gelfand, ed.) Proc. Budapest 1971, pp. 231–329. London: Hilger 1975
Kostant, B.: On the tensor product of a finite and an infinite dimensional representation. J. Funct. Anal.20, 257–285 (1975)
Matsuki, T.: A description of discrete series for semisimple symmetric spaces II. Adv. Stud. Pure Math.14, 531–540 (1988)
Oshima, T.: Boundary value problems for systems of linear partial differential equations with regular singularities. Adv. Stud. Pure Math.4, 433–497 (1984)
Oshima, T., Matsuki, T.: A description of discrete series for semisimple symmetric spaces. Adv. Stud. Pure Math.4, 331–390 (1984)
Oshima, T., Sekiguchi, J.: Eigenspaces of invariant differential operators on a semisimple symmetric space. Invent. Math.57, 1–81 (1980)
Schlichtkrull, H.: Hyperfunctions and harmonic analysis on symmetric spaces. Boston: Birkhäuser 1984
Sato, M., Kawai, T., Kashiwara, M.: Microfunctions and pseudo-differential equations. (Lect. Notes Math. Vol.287, pp. 265–529). Berlin-Heidelberg-New York: Springer 1973
Varadarajan, V.S.: Harmonic analysis on real reductive groups. (Lect. Notes Math. Vol.576). Berlin-Heidelberg-New York: Springer 1977
Wallach, N.: Asymptotic expansions of generalized matrix entries of representations of real reductive groups. (Lect. Notes Math. Vol.1024, pp. 287–369). Berlin-Heidelberg-New York: Springer 1983
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van den Ban, E.P., Schlichtkrull, H. Local boundary data of eigenfunctions on a Riemannian symmetric space. Invent Math 98, 639–657 (1989). https://doi.org/10.1007/BF01393841
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DOI: https://doi.org/10.1007/BF01393841