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Residue integral formulas and the Radon transform for differential forms onq-linearly concave domains

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References

  1. Andreotti, A., Grautert, H.: Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. Fr.90. 193–259 (1962)

    MATH  Google Scholar 

  2. Atiyah, M.F.: Green's functions for self-dual four-manifolds. Advances in Math. Suppl. Studies, vol. 7a, pp. 129–158. London New York: Academic Press 1981

    MATH  Google Scholar 

  3. Berndtsson, B.: Integral formulas on projective space and the Radon transform of Gindikin-Henkin-Polyakov. Publ. Mat.32, 7–41 (1988).

    Article  MathSciNet  MATH  Google Scholar 

  4. Eastwood, M.G., Penrose, R., Wells, R.O.: Cohomology and massless fields. Commun. Math. Phys.78, 305–351 (1980/81)

    Article  MathSciNet  Google Scholar 

  5. Folland, G.B., Kohn, J.J.: The Neumann problem for the Cauchy-Riemann complex. Ann. Math. Studies. Vol. 75. Princeton: Princeton University Press 1972

    MATH  Google Scholar 

  6. Gellfand, I.M., Gindikin, S.G., Graev, M.I.: Integral geometry in affine and projective spaces. Itogi Nauki: Sovremennye Problemy Mat. v. 16, pp. 53–226. VINITI, Moscow, 1980

    Google Scholar 

  7. Gindikin, S.G.: Integral formulas and integral geometry for\(\bar \partial\) in ℂP n. Funkts. Anal. Prilozh.18, 26–39 (1984)

    MathSciNet  Google Scholar 

  8. Gindikin, S.G., Henkin, G.M.: Integral geometry for\(\bar \partial\)-cohomology inq-linearly concave domains in ℂP n-Funkts. Anal. Prilozh.12, 6–23 (1978) (in Russian)

    MathSciNet  Google Scholar 

  9. Gindikin, S.G., Henkin, G.M.: Penrose transform and complex integral geometry. Itogi Nauki: sovremennye Problemy MAt. v. 17, pp. 57–112, VINITI, Moscow 1981 (in Russian)

    Google Scholar 

  10. Gindikin, S.G., Henkin, G.M.: Cauchy-Fantappie formulas on projective space. Multidimensional complex analysis, pp. 50–63. Krasnojarsk. Institute of Physics, 1985 (in Russian)

    Google Scholar 

  11. Grauert, H.: Kantenkohomologie. Composito. Math.44, N1–3, 79–101 (1981)

    MathSciNet  MATH  Google Scholar 

  12. Henkin, G.M.: The Lewy equation and analysis on pseudo-convex manifolds. Usp. Mat. Nauk32, 57–118 (1977) (in Russian)

    MathSciNet  Google Scholar 

  13. Henkin, G.M., Leiterer, J.: Andreotti-Grauert theory by integral formulas. Basel Boston Stuttgart: Birkhäuser 1988

    Book  MATH  Google Scholar 

  14. Novikov, R.G., Henkin, G.M.: 254-3 in multidimensional inverse scattering problem. Usp. Mat. Nauk.42, 93–152 (1987) (in Russian)

    MathSciNet  Google Scholar 

  15. Polyakov, P.L., Henkin, G.M.: Homotopy formulas for the\(\bar \partial\)-operator on ℂP nand the Radon-Penrose transform. Izv. Akad. Nauk SSSR. Ser. Mat.50, 566–597 (1986) (in Russian)

    MathSciNet  Google Scholar 

  16. Polyakov, P.L., Henkin, G.M.: Residue integral formulas and the Radon-Penrose transform for nonclosed forms. Dokl. Akad. Nauk. SSSR283, 298–303 (1985) (in Russian)

    MathSciNet  Google Scholar 

  17. Woodhouse, N.: Real methods in twistor theory. Class. Quantum Grav.2, 577 (1985)

    Article  MathSciNet  MATH  Google Scholar 

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To Professor Hans Grauert with great respect on occasion of his sixtieth birthday

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Henkin, G.M., Polyakov, P.L. Residue integral formulas and the Radon transform for differential forms onq-linearly concave domains. Math. Ann. 286, 225–254 (1990). https://doi.org/10.1007/BF01453574

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