Andreotti-Grauert Theory by Integral Formulas |
Contents
INTEGRAL FORMULAS AND FIRST APPLICATIONS | 9 |
Piecewise CauchyFantappie formulas | 46 |
qCONVEX AND 9CONCAVE MANIFOLDS | 59 |
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A₁ A₂ Appendix assertions hold true Banach space biholomorphic bounded linear operator c¹ boundary c² function Cauchy-Fantappie formula closed with respect compact set compact support configuration in ch constant C<oo continuous 0,r)-form continuous differential form continuous linear convex Corollary d-closed D₂ defined definition degenerate critical points denote dg(x differential form Dolbeault cohomology exhausting function exist a neighborhood fezo finite follows from Theorem form f Fréchet space function g Hence holomorphic coordinates holomorphic functions holomorphic vector bundle implies integral isomorphism k₁ Leray data Let D cc moreover n-dimensional complex manifold non-degenerate strictly q-concave non-degenerate strictly q-convex obtain open sets Proof of Proposition proof of Theorem pseudoconvex q-concave extension q-convex configuration q+1)-convex function relatively compact Remark resp restriction map Sect sequence strictly plurisubharmonic strictly q-concave domain strictly q-convex domain subspace supp surjective uniform convergence uniform estimates