Connections and propagation of analyticity for CR functions

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Connections and propagation of analyticity for CR functions

A. Tumanov

Source: Duke Math. J. Volume 73, Number 1 (1994), 1-24.

First Page: Show

Primary Subjects: 32F40

Secondary Subjects: 32C16, 32D15

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288606
Mathematical Reviews number (MathSciNet): MR1257276
Zentralblatt MATH identifier: 0801.32005
Digital Object Identifier: doi:10.1215/S0012-7094-94-07301-8

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References

[A] R. A. Ayrapetian, Continuation of CR-functions from piecewise-smooth CR-manifolds, Mat. Sb. (N.S.) 134(176) (1987), no. 1, 108–118, 143.

Mathematical Reviews (MathSciNet): MR88m:32032

Zentralblatt MATH: 0663.32015

[AH] R. A. Ayrapetian and G. M. Henkin, Analytic continuation of CR functions through the “edge of the wedge”, Dokl. Akad. Nauk. SSSR 259 (1981), no. 4, 777–781.

Mathematical Reviews (MathSciNet): MR82k:32039

Zentralblatt MATH: 0521.32016

[BR] M. S. Baouendi and L. Rothschild, Cauchy-Riemann functions on manifolds of higher codimension in complex space, Invent. Math. 101 (1990), no. 1, 45–56.

Mathematical Reviews (MathSciNet): MR91j:32020

Zentralblatt MATH: 0712.32009

Digital Object Identifier: doi:10.1007/BF01231495

[BT] M. S. Baouendi and F. Treves, A property of the functions and distributions annihilated by a locally integrable system of complex vector fields, Ann. of Math. (2) 113 (1981), no. 2, 387–421.

Mathematical Reviews (MathSciNet): MR82f:35057

Zentralblatt MATH: 0491.35036

Digital Object Identifier: doi:10.2307/2006990

JSTOR: links.jstor.org

[HS] N. Hanges and J. Sjöstrand, Propagation of analyticity for a class of nonmicrocharacteristic operators, Ann. of Math. (2) 116 (1982), no. 3, 559–577.

Mathematical Reviews (MathSciNet): MR85g:58085

Zentralblatt MATH: 0537.35007

Digital Object Identifier: doi:10.2307/2007023

JSTOR: links.jstor.org

[HT] N. Hanges and F. Treves, Propagation of holomorphic extendability of CR functions, Math. Ann. 263 (1983), no. 2, 157–177.

Mathematical Reviews (MathSciNet): MR85c:58102

Zentralblatt MATH: 0494.32004

Digital Object Identifier: doi:10.1007/BF01456878

[KN] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, Wiley-Interscience, New York, 1963.

Mathematical Reviews (MathSciNet): MR27:2945

Zentralblatt MATH: 0119.37502

[Tr] J.-M. Trépreau, Sur la propagation des singularités dans les variétés CR, Bull. Soc. Math. France 118 (1990), no. 4, 403–450.

Mathematical Reviews (MathSciNet): MR92b:58229

Zentralblatt MATH: 0742.58053

[T1] A. E. Tumanov, Extension of CR functions on a manifold of finite type over a wedge, Mat. Sb. 136 (1988), no. 1, 129–140.

Mathematical Reviews (MathSciNet): MR89m:32027

Zentralblatt MATH: 0692.58005

[T2] A. E. Tumanov, Extension of CR functions into a wedge, Mat. Sb. 181 (1990), no. 7, 951–964.

Mathematical Reviews (MathSciNet): MR91f:32010

Zentralblatt MATH: 0714.32005

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