## Parabolic invariant theory in complex analysis.(English)Zbl 0444.32013

### MSC:

 32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.) 53A55 Differential invariants (local theory), geometric objects 32F45 Invariant metrics and pseudodistances in several complex variables 32T99 Pseudoconvex domains
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### References:

 [1] {\scL. Boutet de Monvel and J. Sjöstrand}, Sur la singularité des noyaux de Bergman et de Szegö, Astérisk, in press. [2] Burns, D; Shnider, S, Pseudoconformal geometry of hypersurfaces in $$C$$^{n+1}, (), 2433-2436 · Zbl 0312.32007 [3] Burns, D; Shnider, S, Real hypersurfaces in complex manifolds, (), 141-168 · Zbl 0422.32016 [4] Burns, D; Shnider, S; Diederich, K, Distinguished curves in the boundaries of strictly pseudoconvex domains, Duke math. J., 44, No. 2, 407-431, (1977) · Zbl 0382.32011 [5] Calabi, E, A construction of nonhomogeneous Einstein metrics, (), 17-24, Part 2 [6] Cartan, E; Cartan, E, Sur la géométrie pseudo-conforme des hypersurfaces de deux variables complexes, II, (), 1217-1238, Chap. 2 · JFM 58.1256.03 [7] Chern, S.S; Moser, J, Real hypersurfaces in complex manifolds, Acta math., 133, 219-271, (1974) · Zbl 0302.32015 [8] D’Angelo, J, Thesis, (1976), Princeton University [9] Dieudonné, J, (), 128 [10] Fefferman, C, The Bergman kernel and biholomorphic equivalence of pseudoconvex domains, Invent. math., 26, 1-65, (1974) · Zbl 0289.32012 [11] Fefferman, C, Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains, Ann. of math., Erratum, 104, 393-394, (1976) · Zbl 0332.32018 [12] Folland, G; Kohn, J.J, The Neumann problem for the Cauchy-Riemann complex, Ann. of math. studies, 75, (1976) · Zbl 0247.35093 [13] Folland, G; Stein, E.M, Estimates for the $$\̄$$t6_{b}-complex and analysis on the Heisenberg group, Comm. pure appl. math., 27, 429-522, (1974) · Zbl 0293.35012 [14] Gilkey, P, The heat equation and the index theorem, (1976), Publish or Perish Boston [15] Gunning, R; Rossi, H, Analytic functions of several complex variables, (1965), Prentice-Hall Englewood Cliffs, N. J · Zbl 0141.08601 [16] Greiner, P; Stein, E.M, Estimates for the $$\̄$$t6-Neumann problem, () [17] Hochschild, G; Mostow, G.D, Unipotent groups in invariant theory, (), 646-648 · Zbl 0262.14004 [18] Hörmander, L, L2-estimates and existence theorems for the $$\̄$$t6-operator, Acta math., 113, 89-152, (1965) · Zbl 0158.11002 [19] {\scM. Kashiwara}, to appear. [20] Kerzman, N, The Bergman kernel function: differentiability at the boundary, Math. ann., 195, 149-158, (1972) [21] Kobayashi, S; Nomizu, K, () [22] {\scJ. J. Kohn}, Subelliptic estimates for the $$\̄$$t6-Neumann problem, to appear. [23] Narasimhan, R, Introduction to the theory of analytic spaces, () · Zbl 0168.06003 [24] Naruki, I, On the equivalence problem for bounded domains, Res. inst. math. sci. Kyoto univ., (August (1972)) [25] Phong, D.H; Stein, E.M, Estimates for the Bergman and szegö projections on strongly pseudoconvex domains, Duke math. J., 44, 695-704, (1977) · Zbl 0392.32014 [26] Poincaré, H, LES fonctions analytiques de deux variables et la représentation conforme, Rend. circ. mat. Palermo, 185-220, (1907) · JFM 38.0459.02 [27] Rothschild, L.P; Stein, E.M, Hypoelliptic operators and nilpotent groups, Acta math., 137, 247-320, (1976) · Zbl 0346.35030 [28] Seshadri, C, On a theorem of weizenböck in invariant theory, J. math. Kyoto univ., 1, 403-409, (1962) · Zbl 0112.25402 [29] Tanaka, N, On the pseudoconformal geometry of hypersurfaces in the space of n complex variables, J. math. soc. Japan, 14, 397-429, (1962) · Zbl 0113.06303 [30] Tanaka, N, On generalized graded Lie algebras and geometric structures, I, J. math. soc. Japan, 19, 215-254, (1967) · Zbl 0165.56002 [31] Tanaka, N, On infinitesimal automorphisms of Siegel domains, J. math. soc. Japan, 22, 180-212, (1970) · Zbl 0188.08106 [32] Webster, S, Real hypersurfaces in complex space, () [33] Webster, S, On the mapping problem for algebraic real hypersurfaces, Invent. math., 43, fasc. 1, 53-68, (1977) · Zbl 0348.32005 [34] {\scS. Webster}, to appear. [35] Weizenböck, R, Über die invarianten von linearen gruppen, Acta math., 58, 230-250, (1932) [36] Weyl, H, The classical groups, (1946), Princeton University Press Princeton, N. J · JFM 65.0058.02 [37] {\scS.-T. Yau}, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation, I, to appear.
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