Complex AnalysisSteven G. Krantz This conference gathered together a small group of people with similar interests in the geometric function theory of several complex variables. While the speeches were of a specialized nature, the papers in the proceedings are largely of a survey and speculative nature. The volume is intended to serve both students and researchers as an invitation to active new areas of research. The level of the writing has been intentionally set in such a way that the papers will be accessible to a broad audience. |
Contents
Steven G Krantz Recent Progress and Future Directions in Several Complex | 1 |
David E Barrett Boundary Singularities of Biholomorphic Maps | 10 |
60 | 99 |
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a-Neumann Ak(D automorphisms ball Bergman kernel Bergman metric biholomorphic boundary behavior bounded domain bounded pseudoconvex domain Catlin compact subsets complex manifolds Complex Variables condition constant converge CR manifold curvature defining function definition denote dimensional equation exists Fefferman's finite type follows Fornaess geodesics geometric global holomorphic functions holomorphic mappings integer invariants iterated commutators Kähler manifolds Kähler metric Kohn Krantz Lemma Levi form Math neighborhood Neumann problem order of contact peak interpolation sets peak point peak set peaking function pluri plurisubharmonic function points of finite polydisc proper holomorphic mappings proper mappings properties prove pseudoconvex boundary points real analytic boundary real hypersurface result satisfies set for A(D Sibony smooth smoothly bounded strictly pseudoconvex domains strongly pseudoconvex domains subelliptic estimates subharmonic subharmonic functions submanifold tangent space type L,p U₁ U₂ vanishes vector field weakly pseudoconvex domains zero