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Analytic representation for cr-functions on submanifolds of codimension 2 in ¢n

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Analytic Functions Kozubnik 1979

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References

  1. ANDREOTTI, A. and C. DENSON-HILL: E. E. Levi convexity and the Hans Lewy problem, Ann. Scuola Norm. Sup. Pisa 26 (1972), 325–363.

    MathSciNet  MATH  Google Scholar 

  2. —, —, S. ŁOJASIEWICZ, and B. MACKICHAN: Complexes of differential operators, Invent. Math. 35 (1976), 43–86.

    Article  MathSciNet  MATH  Google Scholar 

  3. FISCHER, W. und I. LIEB: Lokale Kerne und beschränkte Lösungen für den ∂-Operator auf q-konvexen Gebieten, Math. Ann. 208 (1974), 249–265.

    Article  MathSciNet  MATH  Google Scholar 

  4. HÖRMANDER, L.: L2-estimates and existence theorems for the ∂-operator, Acta Math. 113 (1965), 89–152.

    Article  MathSciNet  MATH  Google Scholar 

  5. HUNT, L. R., J. C. POLKING, and J. STRAUSS: Unique continuation for solutions to the induced Cauchy-Riemann equations, J. Diff. Equations 23 (1977), 436–447.

    Article  MathSciNet  MATH  Google Scholar 

  6. KASHIWARA, M. and T. KAWAI: On the boundary value problem for elliptic systems of linear differential equations, Proc. Japan Acad. 48 (1972), 712–715.

    Article  MathSciNet  MATH  Google Scholar 

  7. MARTINEAU, A.: Distributions et valeurs au bord des fonctions holomorphes, Proc. of the Internat. Summer Institute, Lisbon 1964.

    Google Scholar 

  8. NIRENBERG, R.: On the H. Lewy extension phenomenon, Trans. Amer. Math. Soc. 168 (1972), 337–356.

    Article  MathSciNet  MATH  Google Scholar 

  9. NORGUET, F.: Problèmes sur les formes différentielles des courants, Ann. Inst. Fourier 11 (1960), 1–88.

    Article  MathSciNet  MATH  Google Scholar 

  10. POLKING, J. C. and R. O. WELLS: Hyperfunction boundary values and a generalized Bochner-Hartogs theorem, Proc. Symp. Pure Math. 30 (1977), 187–193.

    Article  MathSciNet  MATH  Google Scholar 

  11. RANGE, R. M. and Y. T. SIU: Uniform estimates for the ∂-equation on domains with piecewise smooth strictly pseudoconvex boundaries, Math. Ann. 206 (1974), 325–354.

    Article  MathSciNet  MATH  Google Scholar 

  12. — and —: Ck-approximation by holomorphic functions and ∂-closed forms on Ck-submanifolds of a complex manifold, Math. Ann. 210 (1974), 105–122.

    Article  MathSciNet  MATH  Google Scholar 

  13. SATO, M., T. KAWAI, and M. KASHIWARA: Microfunctions and pseudo-differential equations, Springer-Verlag, Berlin-Heidelberg-New York 1973.

    MATH  Google Scholar 

  14. TILLMANN, H. G.: Randverteilungen analytischer Funktionen und Distributionen, Math. Z. 59 (1953), 61–83.

    Article  MathSciNet  MATH  Google Scholar 

  15. WELLS, R. O.: Function theory on differentiable submanifolds, in: Contributions to Analysis, Academic Press, New York 1974, pp. 407–441.

    Chapter  Google Scholar 

  16. POLJAKOV, P. L.: Banach cohomology on piecewise strictly pseudoconvex domains [in Russian], Mat. Sb. (N. S.) 88 (130) (1972), 239–255.

    MathSciNet  Google Scholar 

  17. HENKIN, G. M.: Integral representation of functions which are holomorphic in strictly pseudoconvex regions, and some applications [in Russian], Mat. Sb. (N. S.) 78 (120) (1969), 611–632.

    MathSciNet  Google Scholar 

  18. —: A uniform estimate for the solution of the ∂-problem in a Weil region [in Russian], Uspehi Mat. Nauk 26 (1971), no. 3 (159), 211–212.

    MathSciNet  MATH  Google Scholar 

  19. ČIRKA, E. M.: Analytic representations of CR-functions [in Russian], Mat. Sb. (N. S.) 98 (140) (1975), 591–623 and 640.

    MathSciNet  MATH  Google Scholar 

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Julian Ławrynowicz

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© 1980 Springer-Verlag

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Henkin, G.M. (1980). Analytic representation for cr-functions on submanifolds of codimension 2 in ¢n . In: Ławrynowicz, J. (eds) Analytic Functions Kozubnik 1979. Lecture Notes in Mathematics, vol 798. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097264

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  • DOI: https://doi.org/10.1007/BFb0097264

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  • Print ISBN: 978-3-540-09985-7

  • Online ISBN: 978-3-540-39247-7

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