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A new proof of the Newlander-Nirenberg theorem

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References

  1. Bers, L.: Riemann Surfaces, Lecture Notes, Courant Inst. of Math. Sci., New York (1957–58

    Google Scholar 

  2. Chern, S.S.: An elementary proof of isothermal parameters on a surface, Proc. AMS6, 771–782 (1955)

    Google Scholar 

  3. Gilbarg, D., Trudinger, N.: Elliptic partial differential equations of second order. Berlin Heidelberg New York: Springer 1977

    Google Scholar 

  4. Harvey, R., Polking, J.: Fundamental solutions in complex analysis I. II. Duke Math. J.46, 253–340 (1979)

    Google Scholar 

  5. Henkin, G.M., Leiterer, J.: Theory of functions on complex manifolds. Boston: Birkhäuser 1984

    Google Scholar 

  6. Hormander, L.V.: An introduction to complex analysis in several variables. New York: North Holland Publ. 1973

    Google Scholar 

  7. Kohn, J.J.: Harmonic integral on strongly pseudo-convex manifolds II. Ann. Math.79, 450–472 (1964)

    Google Scholar 

  8. Malgrange, B.: Sur l'integrabilite des structures presque-complex. Symposia Math. vol. II, 289–296. London: Academic Press 1969

    Google Scholar 

  9. Moser, J.K.: A rapidly convergent iteration method and nonlinear differential equations II. Ann. Scuola Norm. Sup. Pisa20, 499–535 (1966)

    Google Scholar 

  10. Newlander, A., Nirenberg, L.: Complex analytic coordinates in almost complex manifolds. Ann. Math.65, 391–404 (1957)

    Google Scholar 

  11. Nijenhuis, A., Woolf, W.: Some integration problems in almost-complex manifolds, Ann. Math.77, 424–489 (1963)

    Google Scholar 

  12. Nirenberg, L.: Lectures on linear partial differential equations. CBMS no.17, AMS, Providence, R.I. (1976)

    Google Scholar 

  13. Range, M.: Holomorphic functions and integral representations in several complex variables. Berlin Heidelberg New York: Springer 1986

    Google Scholar 

  14. Treves, F.: Hypo-analytic structures (to appear)

  15. Webster, S.M.: On the proof of Kuranishi's embedding theorem. Ann. Inst. Henri Poincare, Nouv. Ser., B (ANL) vol. 6 (1989)

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Partially supported by NSF, Grant No. DMS-8600373

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Webster, S.M. A new proof of the Newlander-Nirenberg theorem. Math Z 201, 303–316 (1989). https://doi.org/10.1007/BF01214897

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  • DOI: https://doi.org/10.1007/BF01214897

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