Proceedings of the Conference on Complex Analysis

1. Front Matter

   Pages i-vii

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2. On Factorization of Holomorphic Mappings

   • K. Stein

   Pages 1-7

3. Cauchy Integral Formulas and Boundary Kernel Functions in Several Complex Variables

   • L. Bungart

   Pages 7-18

4. Extrinsic Complex Projective Geometry

   • William F. Pohl

   Pages 18-29

5. Some Properties of Pseudo-conformal Images of Circular Domains in the Theory of Two Complex Variables

   • S. Bergman

   Pages 30-40

6. Holomorphic Imbeddings of Symmetric Domains into a Siegel Space

   • I. Satake

   Pages 40-48

7. On Determining Sets in a Stein Manifold

   • A. Aeppli

   Pages 48-58

8. On the Cohomology Structure of Stein Manifolds

   • A. Aeppli

   Pages 58-70

9. Normal Families of Non-negative Divisors

   • W. Stoll

   Pages 70-81

10. Boundaries of Complex Manifolds

    • J. J. Kohn

    Pages 81-94

11. Local Properties of Holomorphic Mappings

    • H. Holmann

    Pages 94-109

12. Automorphic Forms and General Teichmüller Spaces

    • L. Bers

    Pages 109-113

13. The Extension Problem for Compact Submanifolds of Complex Manifolds I

    • Ph. A. Griffiths

    Pages 113-142

14. New Proof for the Existence of Locally Complete Families of Complex Structures

    • M. Kuranishi

    Pages 142-154

15. Algebraic Function Fields on Complex Analytic Spaces

    • N. Kuhlmann

    Pages 155-172

16. Riemann Surfaces with the Absolute AB-maximum Principle

    • H. L. Royden

    Pages 172-175

17. A Remark on Non-compact Quotients of Bounded Symmetric Domains

    • A. Andreotti, E. Vesentini

    Pages 175-182

18. Pseudo-convex Domains in Linear Topological Spaces

    • H. J. Bremermann

    Pages 182-186

19. Connections for a Class of Pseudogroup Structures

    • R. C. Gunning

    Pages 186-194

20. A Fundamental Lemma on Point Modifications

    • H. Hironaka

    Pages 194-215

This volume contains the articles contributed to the Minnesota Con­ ference on Complex Analysis (COCA). The Conference was held March 16-21, 1964, at the University of Minnesota, under the sponsorship of the U. S. Air Force Office of Scientific Research with thirty-one invited participants attending. Of these, nineteen presented their papers in person in the form of one-hour lectures. In addition, this volume con­ tains papers contributed by other attending participants as well as by participants who, after having planned to attend, were unable to do so. The list of particip ants, as well as the contributions to these Proceed­ ings, clearly do not represent a complete coverage of the activities in all fields of complex analysis. It is hoped, however, that these limitations stemming from the partly deliberate selections will allow a fairly com­ prehensive account of the current research in some of those areas of complex analysis that, in the editors' belief, have rapidly developed during the past decade and may remain as active in the foreseeable future as they are at the present time. In conclusion, the editors wish to thank, first of all, the participants and contributors to these Proceedings for their enthusiastic cooperation and encouragement. Our thanks are due also to the University of Min­ nesota, for offering the physical facilities for the Conference, and to Springer-Verlag for publishing these proceedings.

• Complex analysis
• Convexity
• Lie
• Modular form
• Riemann surface
• calculus
• conformal map
• geometry
• holomorphic function
• integral
• manifold
• maximum
• proof
• quasiconformal mapping
• variable

• School of Mathematics, Institute of Technology, University of Minnesota, Minneapolis, USA

  Alfred Aeppli

• Department of Mathematics, University of Pennsylvania, Philadelphia, USA

  Eugenio Calabi

• Department of Mathematics, University of California at San Diego, La Jolla, USA

  Helmut Röhrl