Global solvability of bi-invariant differential operators on solvable Lie groups

W. Borho, P. Gabriel, R. Rentschler, Primideale in Einhüllenden auflösbarer Lie-Algebren, Lecture Notes in Math., 357, New York-Heidelberg-Berlin, Springer-Verlag, 1973.
MATH Google Scholar
A. Cerèzo, F. Rouvière, Résolubilité locale d'un opérateur différentiel invariant du premier ordre, Ann. Sci. Ecole Norm. Sup., 4 (1971), 21–30.
MathSciNet MATH Google Scholar
W. Chang, Invariant differential operators and P-convexity of solvable Lie groups (To appear).
Google Scholar
W. Chang, Global solvability of the Laplacians on pseudo-Riemannian symmetric spaces (To appear in Journal of Functional Analysis).
Google Scholar
M. Duflo, Opérateurs différentiels bi-invariants sur un groupe de Lie. Ann. Sci. Ecole Norm. Sup., 10 (1977), 265–288.
MathSciNet MATH Google Scholar
M. Duflo, D. Wigner, Convexité pour les opérateurs différentiels invariants sur les groupes de Lie (preprint).
Google Scholar
S. Helgason, Surjectivity of invariant differential operators on symmetric spaces I, Ann. of Math., 98 (1973), 451–479.
Article MathSciNet MATH Google Scholar
L. Hörmander, Linear partial differential operators, New York, Springer-Verlag, 1963.
Book MATH Google Scholar
J. Rauch, D. Wigner, Global solvability of the Casimir operators, Ann. of Math. 103 (1976), 229–236.
Article MathSciNet MATH Google Scholar
F. Rouvière, Sur la résolubilité locale des opérateurs bi-invariants. Annali Scuola Normale Superiore Pisa 3 (1976), 231–244.
MATH Google Scholar
D. Wigner, Bi-invariant operators on nilpotent Lie groups, Inventiones Math. 41 (1977), 259–264.
Article MathSciNet MATH Google Scholar

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Department of Mathematics, Yale University, 06520, New Haven, Connecticut, USA
Weita Chang

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Weita Chang
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U.E.R. Scientifique de Luminy, Université d’Aix-Marseilie II, 70. Route Léon Lachamp, F-13288, Marseille Cedex 2, France
Jacques Carmona
U.E.R. de Mathématiques, Université Paris VII, 2, Place Jussieu, F-75221, Paris Cédex 05, France
Michèle Vergne

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Chang, W. (1979). Global solvability of bi-invariant differential operators on solvable Lie groups. In: Carmona, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 728. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063335

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DOI: https://doi.org/10.1007/BFb0063335
Published: 25 August 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09516-3
Online ISBN: 978-3-540-35131-3
eBook Packages: Springer Book Archive

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Global solvability of bi-invariant differential operators on solvable Lie groups

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