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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Bi-invariant Schwartz multipliers and local solvability on nilpotent Lie groups

Author(s): Joe W. Jenkins
Journal: Bull. Amer. Math. Soc. 19 (1988), 291-294.
MSC (1985): Primary 22E30, 43A55
MathSciNet review: 940490
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References | Similar articles | Additional information

References:

[C] L. Corwin, Tempered distributions on Heisenberg groups whose convolution with Schwartz class functions is Schwartz class, J. Funct. Anal. 44 (1981), 328-347. MR 643038

[CG] L. Corwin and F. Greenleaf, Solvability of certain left-invariant differential operators by nilmanifold theory, Comm. Pure Appl. Math. 36 (1983), 755-765. MR 720592

[DM] J. Dixmier et P. Mallivan, Factorisations de fonctions et de vecteurs indéfiniment différentiables, Bull. Sci. Math. 102 (1978), 305-330. MR 517765

[H] R. Howe, On a connection between nilpotent groups and oscillatory integrals associated to singularities, Pacific J. Math. 73 (1977), 329-364. MR 578891

[K] A. Kirillov, Unitary representations of nilpotent Lie groups, Uspekhi Mat. Nauk. 17 (1962), 57-110. MR 142001

[R] M. Rais, Solutions elémentaires des operateurs différentiels bi-invariants sur un groupe de Lie nilpotent, C. R. Acad. Sci. Paris Sér. A-B 273 (1971), A495-498. MR 289720

[S] L. Schwartz, Théorie des distributions, tome II, Hermann, Paris, 1959. MR 41345


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Additional Information:

DOI: 10.1090/S0273-0979-1988-15647-9
PII: S 0273-0979(1988)15647-9


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