Canonical Extensions of Harish-Chandra Modules to Representations of G

Kashiwara, 1981, Publ. R.I.M.S. Kyoto Univ., On holonomic systems of micro differential equations III. Systems with regular singularities', 17, 813

Hörmander, 1983, The analysis of linear partial differential operators I., 256

Harish-Chandra, 1970, Bull. Amer. Math. Soc., Harmonie analysis on semi-simple Lie groups, 76, 529

McConnell, 1967, Proc. London Math. Soc., The intersection theorem for a class of non-commutative rings, 17, 487

Oshima, 1980, Fourier analysis on semi-simple symmetric spaces, 880, 357

Bourbaki, 1963, Intégration, 29, 7

Casselman W. , Jacquet modules for real reductive groups, pp. 557–563 in Proceedings of the international Congress of Mathematicians, Helsinki (1979)

Helgason, 1970, A duality for symmetric spaces with applications to group representations, 1

Beilinson, 1983, A generalization of Casselman s submodule theorem, 40

Boel, 1980, Continuous cohomology, discrete subgroups, and representations of reductive groups

Goodman, 1980, Jour. Funct. Anal., Whittaker vectors and conical vectors, 39, 199

Kostant, 1978, Invent. Math., On Whittaker vectors and representation theory, 48, 101

Dixmier, 1978, Bull. Sci. Math., Factorisations de fonctions et de vecteurs indéfiniment différentiables, 102, 307

Casselman, 1982, Duke Math. Jour., Asymptotic behaviour of matrix coefficients of admissible representations, 49, 869

Schmid W. , Boundary value problems for group invariant differential equations, pp. 311–322 in the special volume of Astérisque entitled Elie Cartan et les mathématiques d'aujourdhui (1984).

Casselman W. , Introduction to the Schwartz space of T\G, preprint (1987)

Warner, 1972, Harmonic analysis on semi-simple groups I and II, 188

Ban E.van den and Delorme P. , Quelques propriétés des representations sphériques pour les espaces symétriques réductifs, to appear in Jour. Func. Anal.

Ginsburg V. , Admissible modules on a symmetric space, preprint (1978).

Kostant, 1969, Bull. Amer. Math. Soc., On the existence and irreducibility of certain series of representations, 75, 627

Casselman W. , The differential equations satisfied by matrix coefficients, manuscript (1975).

Coddington, 1955, Theory of ordinary differential equations

Casselman, 1978, Math. Ann., The restriction of admissible representations to n, 233, 193

Cartier, 1976, Vecteurs differentiables dans les représentations unitaires des groupes de Lie, 670

Kashiwara, 1978, Ann. of Math., Eigenfunctions of invariant differential operators on a symmetric space, 107, 1

Miličič, 1977, Duke Math. Jour., Asymptotic behaviour of matrix coefficients of the discrete series, 44, 59

10.1515/9781400883974

10.1007/BFb0058407

Vergne, 1971, Sur les intégrales d'entrelacement de R.A.Kunze et E.M.Stein (d'après G. Schiffman), 369, 1969

Mostow, 1955, Ann. Math., Self-adjoint groups, 62, 44

Hecht, 1983, Acta Math., Characters, asymptotics, and n-homology of Harish-Chandra modules, 151, 49

Oshima, 1978, J. Math. Soc. Japan, A realization of Riemannian symmetric spaces, 30, 117

Prischepionok, 1976, (in Russian), Doklady Akad. Nauk S.S.S.R., Natural topologies for linear representations of semi-simple Lie algebras, 231, 292

Shahidi, 1980, Duke Math. Jour., Whittaker models for real groups, 47, 99

Langlands, 1973, On the classification of irreducible representations of real algebraic groups

Treves, 1967, Topological vector spaces, distributions, and kernels

Wallach, 1983, Asymptotic expansions of generalized matrix entries of representations of real reductive groups, 1024

Zuckerman, 1987, Ann. of Math., Continuous cohomology and unitary representations of real reductive groups, 197, 495

Arthur, 1983, Acta Mathematica, A Paley-Wiener theorem for real reductive groups, 150, 1

Bourbaki, 1955, Espaces vectoriels topologiques, 18