References
Andreotti, A., Grautert, H.: Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. Fr.90. 193–259 (1962)
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
Berndtsson, B.: Integral formulas on projective space and the Radon transform of Gindikin-Henkin-Polyakov. Publ. Mat.32, 7–41 (1988).
Eastwood, M.G., Penrose, R., Wells, R.O.: Cohomology and massless fields. Commun. Math. Phys.78, 305–351 (1980/81)
Folland, G.B., Kohn, J.J.: The Neumann problem for the Cauchy-Riemann complex. Ann. Math. Studies. Vol. 75. Princeton: Princeton University Press 1972
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
Gindikin, S.G.: Integral formulas and integral geometry for\(\bar \partial\) in ℂP n. Funkts. Anal. Prilozh.18, 26–39 (1984)
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)
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)
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)
Grauert, H.: Kantenkohomologie. Composito. Math.44, N1–3, 79–101 (1981)
Henkin, G.M.: The Lewy equation and analysis on pseudo-convex manifolds. Usp. Mat. Nauk32, 57–118 (1977) (in Russian)
Henkin, G.M., Leiterer, J.: Andreotti-Grauert theory by integral formulas. Basel Boston Stuttgart: Birkhäuser 1988
Novikov, R.G., Henkin, G.M.: 254-3 in multidimensional inverse scattering problem. Usp. Mat. Nauk.42, 93–152 (1987) (in Russian)
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)
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)
Woodhouse, N.: Real methods in twistor theory. Class. Quantum Grav.2, 577 (1985)
Author information
Authors and Affiliations
Additional information
To Professor Hans Grauert with great respect on occasion of his sixtieth birthday
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01453574