**Proceedings of Symposia in Pure Mathematics**

Volume: 30;
1977;
328 pp;
Softcover

MSC: Primary 32;

Print ISBN: 978-0-8218-0250-2

Product Code: PSPUM/30.2

List Price: $74.00

AMS Member Price: $59.20

MAA member Price: $66.60

**Electronic ISBN: 978-0-8218-9318-0
Product Code: PSPUM/30.2.E**

List Price: $74.00

AMS Member Price: $59.20

MAA member Price: $66.60

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# Several Complex Variables, Part 2

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*R. O. Wells, Jr.*

# Table of Contents

## Several Complex Variables, Part 2

- Contents v6 free
- Preface ix10 free
- Noncompact Complex Manifolds 114 free
- Nonlinear Cauchy-Riemann equations and q-convexity 316
- Homomorphisms into analytic rings 720
- Continuation of smooth holomorphic functions over analytic hypersurfaces 1124
- The Levi problem in holomorphic bundles with compact fibre 1528
- Properties of pseudoconvex domains with smooth boundaries 1730
- Kähler manifolds and the Levi problem 2134
- The holomorphic convexity of pseudoconvex complex manifolds 2538
- Hölder estimates for ∂ on convex domains in C[sup(2)] with real analytic boundary 3144
- Lefschetz theorems and a vanishing theorem of Grauert-Riemenschneider 3548
- Embedding strongly (1, 1)-convex-concave spaces in C[sup(N)] x P[sub(M)] 4154
- The Levi problem 4558
- Siu On holomorphic jet bundles 4962
- On the classification of holomorphically convex spaces 5366
- Poincaré theta series and L[sub(1)] cohomology 5972

- Principal Lecture 4 6780
- Differential Geometry and Complex Analysis 101114
- Moving frames in Hermitian geometry 103116
- Local invariants of real and complex Riemannian manifolds 107120
- Function theory on complete open Hermitian manifolds 111124
- The question of holomorphic carriers 115128
- Deformations of strongly pseudoconvex domains in C[sup(2)] 125138
- The behavior of the infinitesimal Kobayashi pseudometric in deformations and on algebraic manifolds of general type 129142
- Curvature of complex submanifolds of C[sup(n)] 135148

- Principal Lecture 5 139152
- Problems in Approximation 169182
- Principal Lecture 6 197210
- Value Distribution Theory 219232
- Separate analyticity, separate normality, and radial normality for mappings 221234
- A result on the value distribution of holomorphic maps ƒ: C[sup(n)] → C[sup(n)] 225238
- Operator theory and complex geometry 229242
- A unicity theorem for equidimensional holomorphic maps 237250
- Meromorphic mappings into compact complex spaces of general type 239252
- Real and semireal zeros of entire functions in C[sup(n)] 245258
- A defect relation on Stein manifolds 251264
- On holomorphic curves in algebraic varieties with ample irregularity 255268
- Value distribution on parabolic spaces 259272
- On the equidistribution theory of holomorphic maps 265278

- Group Representation and Harmonic Analysis 271284
- Theta functions with characteristic, and distinguished subspaces of the Heisenberg manifold 273286
- The complex-analytic extension of the Fourier series on Lie groups 279292
- Analysis on matrix space and certain Siegel domains 283296
- Boundary behaviour of holomorphic functions on bounded symmetric domains 291304
- Rankin-Selberg method in the theory of automorphic forms 297310
- Tangential Cauchy-Riemann equations associated with a Siegel domain 303316
- On symmetric and quasi-symmetric Siegel domains 309322
- Complex homogeneous bundles and finite-dimensional representation theory 317330

- Author Index 321334