no. 3
Convexity for invariant differential operators on semisimple symmetric spaces
Compositio Mathematica, Tome 89 (1993) no. 3, pp. 301-313. 
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     author = {Van den Ban, E. P. and Schlichtkrull, H.},
     title = {Convexity for invariant differential operators on semisimple symmetric spaces},
     journal = {Compositio Mathematica},
     pages = {301--313},
     publisher = {Kluwer Academic Publishers},
     volume = {89},
     number = {3},
     year = {1993},
     mrnumber = {1255699},
     zbl = {0798.58083},
     language = {en},
     url = {http://www.numdam.org/item/CM_1993__89_3_301_0/}
}
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Van den Ban, E. P.; Schlichtkrull, H. Convexity for invariant differential operators on semisimple symmetric spaces. Compositio Mathematica, Tome 89 (1993) no. 3, pp. 301-313. http://www.numdam.org/item/CM_1993__89_3_301_0/

[1] E Van Den Ban: A convexity theorem for semisimple symmetric spaces, Pac. J. Math. 124 (1986), 21-55. | MR | Zbl

[2] E Van Den Ban: Asymptotic behaviour of matrix coefficients related to reductive symmetric spaces, Proc. Kon. Nederl. Akad. Wet 90 (1987), 225-249. | MR | Zbl

[3] E. Van Den Ban and H. Schlichtkrull: The most continuous part of the Plancherel decomposition for a reductive symmetric space. In preparation.

[4] E. Van Den Ban and H. Schlichtkrull: Multiplicities in the Plancherel decomposition for a semisimple symmetric space. In (R. L. Lipsman e.a. eds) Representation Theory of Groups and Algebras, Contemp. Math., Vol. 145, p. 163-180. Amer. Math. Soc., Providence 1993. | MR | Zbl

[5] A. Cérézo and F. Rouvière: Opérateurs différentiels invariants sur un groupe de Lie, Sém. Goulaouic-Schwartz 1972-73 (1973), Exposé X, p. X.1-X.9. | Numdam | MR | Zbl

[6] W. Chang: Global solvability of the Laplacians on pseudo-Riemannian symmetric spaces, J. Funct. Anal. 34 (1979), 481-492. | MR | Zbl

[7] W. Chang: Invariant differential operators and P-convexity of solvable Lie groups, Adv. in Math. 46 (1982), 284-304. | MR | Zbl

[8] J. Dadok: Solvability of invariant differential operators of principal type on certain Lie groups and symmetric spaces, J. d'Anal. Math. 37 (1980), 118-127. | MR | Zbl

[9] M. Duflo and D. Wigner: Convexité pour les operateurs différentiels invariants sur les groupes de Lie, Math. Zeit. 167 (1979), 61-80. | MR | Zbl

[10] M. Flensted-Jensen: Spherical functions on a real semisimple Lie group. A method of reduction to the complex case, J. Funct. Anal. 30 (1978), 106-146. | MR | Zbl

[11] M. Flensted-Jensen: Analysis on Non-Riemannian Symmetric Spaces, Regional Conference Series in Math. 61, Amer. Math. Soc., Providence 1986. | MR | Zbl

[12] Harish-Chandra: Spherical functions on a semisimple Lie group, I, Amer. J. Math. 80 (1958), 241-310. | MR | Zbl

[13] S. Helgason: Fundamental solutions of invariant differential operators on symmetric spaces, Amer. J. Math. 86 (1964), 565-601. | MR | Zbl

[14] S. Helgason: The surjectivity of invariant differential operators on symmetric spaces I, Ann. of Math. 98 (1973), 451-479. | MR | Zbl

[15] S. Helgason: Groups and Geometric Analysis, Academic Press, Orlando 1984. | MR | Zbl

[16] S. Helgason: Invariant differential operators and Weyl group invariants. In (W. Barker and P. Sally, eds.) Harmonic Analysis on Reductive Groups, Bowdoin College 1989, Birkhäuser, Boston 1991, p. 193-200. | MR | Zbl

[17] L. Hörmander: Linear Partial Differential Operators, Springer Verlag, Berlin 1963. | MR | Zbl

[18] T. Oshima and J. Sekiguchi: Eigenspaces of invariant differential operators on a semisimple symmetric space, Invent. Math. 57 (1980), 1-81. | EuDML | MR | Zbl

[19] J. Rauch and D. Wigner: Global solvability of the Casimir operators, Ann. of Math. 103 (1976), 229-236. | MR | Zbl

[20] F. Rouvière: Invariant differential equations on certain semisimple Lie groups, Trans. Amer. Math. Soc. 243 (1978), 97-114. | MR | Zbl

[21] H. Schlichtkrull: Harmonic Analysis on Symmetric Spaces, Birkhäuser, Boston 1984. | MR

[22] F. Treves: Linear Partial Differential Equations, Gordon and Breach, New York 1970. | Zbl

[23] O. Zariski and P. Samuel: Commutative Algebra, Vol. I, Van Nostrand, Princeton 1958. | MR | Zbl