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Analyticite et iterés d’un système de champs non elliptique. (French) Zbl 0468.35084


MSC:

35R45 Partial differential inequalities and systems of partial differential inequalities
26E05 Real-analytic functions
17B30 Solvable, nilpotent (super)algebras
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References:

[1] M. S. BAOUENDI et G. MÉTIVIER , Caractérisation de l’analyticité et itérés d’opérateurs hypoelliptiques de type principal (Séminaire Goulaouic-Schwartz, 1979 - 1980 , exposé n^\circ 12). Numdam | Zbl 0447.35024 · Zbl 0447.35024
[2] P. BOLLEY , J. CAMUS et C. MATTERA , Analyticité microlocale et itérés d’opérateurs (Séminaire Goulaouic-Schwartz, 1978 - 1979 , exposé n^\circ 13). Numdam | Zbl 0406.35017 · Zbl 0406.35017
[3] F. BROWDER , Real Analytic Functions on Product Spaces and Separate Analyticity (Canadian J. Math., vol. 13, 1961 , p. 650-656). MR 24 #A2240 | Zbl 0118.07603 · Zbl 0118.07603 · doi:10.4153/CJM-1961-054-1
[4] M. DAMLAKHI , Analyticité et itérés d’opérateurs pseudo-différentiels (J. Math. Pures et Appl., vol. 58, 1979 , p. 63-74). MR 80m:35081 | Zbl 0402.35092 · Zbl 0402.35092
[5] M. DERRIDJ et C. ZUILY , Sur la régularité Gevrey des opérateurs de Hörmander (J. Math. Pures et Appl., vol. 52, 1973 , p. 309-336). MR 58 #23764 | Zbl 0266.35013 · Zbl 0266.35013
[6] A. DYNIN , Pseudodifferential Operators on Heisenberg Groups , Éditions du C.I.M.E., 1977 . Zbl 0454.58015 · Zbl 0454.58015
[7] R. GOODMAN , Analytic and Entire Vectors for Representations of Lie Groups (Trans. Amer. Math. Soc., vol. 143, 1969 , p. 55-76). MR 40 #1537 | Zbl 0189.14102 · Zbl 0189.14102 · doi:10.2307/1995233
[8] G. HOCHSCHILD , The Structure of Lie Groups , Holden day Inc., San Francisco, London, Amsterdam, 1965 . MR 34 #7696 | Zbl 0131.02702 · Zbl 0131.02702
[9] L. HORMANDER , Hypoelliptic Second Order Differential Equations (Acta Math., vol. 119, 1967 , p. 147-171). MR 36 #5526 | Zbl 0156.10701 · Zbl 0156.10701 · doi:10.1007/BF02392081
[10] G. MÉTIVIER , Propriété des itérés et ellipticité (Comm. in P.D.E., t. 3, 1978 , p. 827). Zbl 0388.35063 · Zbl 0388.35063 · doi:10.1080/03605307808820078
[11] E. NELSON , Analytic Vectors (Ann. of Maths, vol. 70, n^\circ 3, 1959 , p. 572-615). MR 21 #5901 | Zbl 0091.10704 · Zbl 0091.10704 · doi:10.2307/1970331
[12] D. S. TARTAKOFF , The Local Real Analyticity of Solutions to and -Neumann Problem (Reprint et Proc. of the Nat. Acad. of Sciences, vol. 75, n^\circ 7, 1978 , p. 3027-3028). MR 80g:58045
[13] G. B. FOLLAND , Subelliptic Estimates and Function Spaces on Nilpotent Lie Groups (Ankiv för Mat., vol. 13, n^\circ 2, 1975 , p. 161-207). MR 58 #13215 | Zbl 0312.35026 · Zbl 0312.35026 · doi:10.1007/BF02386204
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