Unique continuation in abstract pseudoconcave $CR$ manifolds

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1. [AKS] N. Aronszajn - A. Krzywicki - J. Szarski, A unique continuation theorem for exterior differentialforms on Riemannian manifolds, Ark. Mat.4 (1962), 417-453. Zbl0107.07803MR140031
2. [BCT] M.S. Baouendi - C.H. Chang - F. Treves, Microlocal hypo-analiticity and extension of C R functions, J. Differential Geom.18 (1983), 331-391. Zbl0575.32019MR723811
3. [BT] M.S. Baouendi - F. Treves, Unique continuation in CR manifolds and hypo-analytic structures, Ark. Mat.26 (1988), 21-40. Zbl0645.32010MR948278
4. [DH] R. Dwilewicz - C.D. Hill, An analytic disc approach to the notion of type points, Indiana Univ. Math. J.43 (1992), 713-739. Zbl0764.32004MR1189908
5. [F] K. Friedrichs, The identity of weak and strong extensions of differential operators, Trans. Amer. Math. Soc.55 (1994), 132-151. Zbl0061.26201MR9701
6. [H] C.D. Hill, Counterexamples to NewlanderNirenberg up to the boundary, Proc. Sympos. Pure Math.52 (1991), 191-197. Zbl0751.53012MR1128593
7. [HN1] C.D. Hill - M. Nacinovich, Pseudoconcave CR manifolds, In: "Complex analysis and geometry" (V. Ancona, E. Ballico, A. Silva, eds.), Pure and Applied Math. Series, vol. 173, Marcel Dekker, New York, 1995, pp. 275-297. Zbl0921.32004MR1365978
8. [HN2] C.D. Hill - M. Nacinovich, Embeddable CR manifolds with nonembeddable smooth boundary, Boll. Un. Mat. Ital.A7 (1993), 387-395. Zbl0809.53063MR1249115
9. [Hö1] L. Hörmander, "The analysis of linear partial differential operators I, II, III, IV", Springer, Berlin-New York, (1983), 1985. MR717035
10. [Hö2] L. Hörmander, On the uniqueness of the Cauchy problem, Math. Scand.6 (1958), 213-225. Zbl0088.30201MR104924
11. [JTI] H. Jacobowitz - F. Treves, Non-realizable CR structures, Invent. Math.66 (1982), 231-249. Zbl0487.32015MR656622
12. [JT2] H. Jacobowitz - F. Treves, Nowhere solvable homogeneous partial differential equations, Bull. Amer. Math. Soc.8 (1983), 467-469. Zbl0527.35015MR693964
13. [JT3] H. Jacobowitz - F. Treves, Aberrant CR structures, Hokkaido Math. J.12 (1983), 276-292. Zbl0564.32010MR719968
14. [MN] C. Medori - M. Nacinovich, Pluriharmonicfunctions on abstract C R manifolds, Ann. Mat. Pura Appl.170 (1996), 377-394. Zbl0872.32005MR1441627
15. [N] M. Nacinovich, On weighted estimates for some systems of partial differential equations, Rend. Sem. Mat. Univ. Padova69 (1983), 221-232. Zbl0531.35018MR716996
16. [R] J.P. Rosay, CR functions vanishing on open sets. (Almost) complex structures and Cohen's example, preprint Univ. Wisconsin, Madison WI (1997). 
17. [Su] H.J. Sussmann, Orbits of families of vector fields and integrability of distributions, Trans. Amer. Math. Soc.180 (1973), 171-188. Zbl0274.58002MR321133
18. [Tr] J.-M. Trépreau, Sur la propagation des singularités dans les variétés, Bull. Soc. Math. France118 (1990), 403-450. Zbl0742.58053MR1090408
19. [Tu] A.E. Tumanov, Extension of CR functions into a wedge from a manifold of finite type, Mat. USSR-Sb.64 (1989), 129-140. Zbl0692.58005MR945904

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