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Several Complex Variables, Part 2
About this Title
R. O. Wells, Jr., Editor
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
1977; Volume 30.2
ISBNs: 978-0-8218-0250-2 (print); 978-0-8218-9318-0 (online)
DOI: https://doi.org/10.1090/pspum/030.2
Table of Contents
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Front/Back Matter
Noncompact complex manifolds
- Richard F. Basener – Nonlinear Cauchy-Riemann equations and $q$-convexity [MR 0445007]
- Joseph A. Becker and William R. Zame – Homomorphisms into analytic rings [MR 0454050]
- Eric Bedford – Continuation of smooth holomorphic functions over analytic hypersurfaces [MR 0450609]
- Jérôme Brun – The Levi problem in holomorphic bundles with compact fibre [MR 0447628]
- Klas Diederich and John Erik Fornaess – Properties of pseudoconvex domains with smooth boundaries [MR 0450617]
- G. Elencwajg – Kähler manifolds and the Levi problem [MR 0445002]
- Alan T. Huckleberry – The holomorphic convexity of pseudoconvex complex manifolds [MR 0450611]
- R. Michael Range – Hölder estimates for $\overline \partial$ on convex domains in $C^2$ with real analytic boundary [MR 0450619]
- Michael Schneider – Lefschetz theorems and a vanishing theorem of Grauert-Riemenschneider [MR 0454063]
- Alessandro Silva – Embedding strongly $(1, 1)$-convex-concave spaces in $C^N \times P_M$ [MR 0445008]
- Yum Tong Siu – The Levi problem [MR 0473242]
- Andrew John Sommese – On holomorphic jet bundles [MR 0481137]
- Vo Van Tan – On the classification of holomorphically convex spaces [MR 0460716]
- R. O. Wells, Jr. and Joseph A. Wolf – Poincaré theta series and $L_1$ cohomology
Principal lecture 4
- R. E. Greene and H. Wu – Analysis on noncompact Kähler manifolds [MR 0460699]
Differential geometry and complex analysis
- Simone Dolbeault – Moving frames in Hermitian geometry [MR 0474160]
- Peter B. Gilkey – Local invariants of real and complex Riemannian manifolds [MR 0450604]
- Paul Klembeck – Function theory on complete open Hermitian manifolds [MR 0460701]
- H. Blaine Lawson, Jr. – The question of holomorphic carriers [MR 0450605]
- R. O. Wells, Jr. – Deformations of strongly pseudoconvex domains in $C^2$ [MR 0454069]
- Marcus W. Wright – The behavior of the infinitesimal Kobayashi pseudometric in deformations and on algebraic manifolds of general type [MR 0450624]
- Paul Yang – Curvature of complex submanifolds of $C^n$ [MR 0450606]
Principal lecture 5
- D. Burns, Jr. and S. Shnider – Real hypersurfaces in complex manifolds [MR 0450603]
Problems in approximations
- H. Alexander – Proper holomorphic mappings of bounded domains [MR 0454065]
- N. Kerzman – A property of unions of admissible domains [MR 0499324]
- Jeffrey Nunemacher – Approximation theory on CR submanifolds [MR 0450616]
- Barnet M. Weinstock – Uniform approximation and the Cauchy-Fantappie integral [MR 0460720]
- William R. Zame – Uniform algebras on plane domains [MR 0493366]
Principal lecture 6
- Otto Forster – Power series methods in deformation theory [MR 0470250]
Value distribution theory
- Theodore J. Barth – Separate analyticity, separate normality, and radial normality for mappings [MR 0447637]
- James A. Carlson – A result on the value distribution of holomorphic maps $f: \mathbf {C}^n \to \mathbf {C}^n$
- Michael J. Cowen and Ronald G. Douglas – Operator theory and complex geometry [MR 0451012]
- S. J. Drouilhet – A unicity theorem for equidimensional holomorphic maps [MR 0450625]
- Peter Kiernan – Meromorphic mappings into compact complex spaces of general type [MR 0447639]
- Pierre Lelong – Real and semireal zeros of entire functions in $C^n$ [MR 0457780]
- John Murray – A defect relation on Stein manifolds [MR 0466642]
- Takushiro Ochiai – On holomorphic curves in algebraic varieties with ample irregularity [MR 0508157]
- Wilhelm Stoll – Value distribution on parabolic spaces [MR 0450626]
- Chia Chi Tung – On the equidistribution theory of holomorphic maps [MR 0450627]
Group representation and harmonic analysis
- Louis Auslander – Theta functions with characteristic, and distinguished subspaces of the Heisenberg manifold [MR 0453921]
- Luis A. Frota-Mattos – The complex-analytic extension of the Fourier series on Lie groups [MR 0477608]
- Kenneth I. Gross and Ray A. Kunze – Analysis on matrix space and certain Siegel domains [MR 0447482]
- Adam Korányi – Boundary behaviour of holomorphic functions on bounded symmetric domains [MR 0457799]
- I. I. Pyatetskiĭ-Shapiro and M. E. Novodvorsky – Rankin-Selberg method in the theory of automorphic forms
- Hugo Rossi and Michele Vergne – Tangential Cauchy-Riemann equations associated with a Siegel domain [MR 0447647]
- Ichirô Satake – On symmetric and quasi-symmetric Siegel domains [MR 0457797]
- Floyd L. Williams – Complex homogeneous bundles and finite-dimensional representation theory [MR 0444846]