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

     

Local Gevrey and quasi-analytic hypoellipticity for $\square_b$

Author(s): David S. Tartakoff
Journal: Bull. Amer. Math. Soc. 82 (1976), 740-742.
MSC (1970): Primary 32F10, 35H05
MathSciNet review: 0410810
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References:

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J. Boman, On the intersection of classes of infinitely differentiable functions, Ark. Mat. 5 (1963/65), 301-309. MR 36 # 3116. MR 220049
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M. Derridj, Sur la régularité G $øverline\partial$ (to appear).
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M. Derridj and D. S. Tartakoff, On the Global Real Analyticity of Solutions to the $øverline\partial$-Neumann Problem, Comm. in Partial Differential Equations.
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G. B. Folland and E. Stein, Estimates for the $\bar \partial \sbb$-complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429-522. MR 51 # 3719. MR 367477
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J. J. Kohn, Harmonic integrals on strongly pseudo-convex manifolds. I, II, Ann. of Math. (2) 78 (1963), 112-148; ibid. 79 (1964), 450-472. MR 27 # 2999; 34 # 8010. MR 153030
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J. J. Kohn, Boundaries of complex manifolds, Proc. Conf. Complex Analysis, (Minneapolis, 1964), Springer-Verlag, Berlin, 1965, pp. 81-94. MR 30 # 5334. MR 175149
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D. S. Tartakoff, Gevrey hypoellipticity for subelliptic boundary value problems, Comm. Pure Appl. Math. 26 (1973), 251-312. MR 49 # 7586. MR 342842
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D. S. Tartakoff, On the global real analyticity of solutions to □, Comm. in Partial Differential Equations (to appear).
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F. Treves, An invariant criterion of hypoellipticity, Amer. J. Math. 83 (1961), 645-668. MR 24 # A2732. MR 132896

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Additional Information:

DOI: 10.1090/S0002-9904-1976-14141-9
PII: S 0002-9904(1976)14141-9




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