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Proceedings of the Symposium on Complex Analysis Canterbury 1973

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Part of London Mathematical Society Lecture Note Series

Dov Aharonov, Harold S. Shapiro, Lars V. Ahlfors, Albert Baernstein, D. A. Brannan, Leon Brown, Allen Shields, David Drasin, Peter L. Duren, Albert Edrei, Matts Essen, Daniel F. Shea, F. W. Gehring, H. Grunsky, James A. Jenkins, Simon Hellerstein, A. Huber, J. P. Kahane, J. Korevaa, U. Kuran, A. J. Lohwater , G. Piranian, Zeev Nehari, D. J. Newman, Ch. Pommerenke, L. A. Rubel, T. B. Sheil-Small, Uri Srebrt, Paul Turan, Allen Weitsman, L. C. Young, Lawrence Zalcman, W. K. Hayman
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  • Date Published: March 2011
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511891809

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  • An international conference on complex analysis was held in Canterbury in July 1973. Some of the world's most prominent complex analysts attended and some outstanding open problems had their first solutions announced there. These are reflected in this set of Proceedings. Almost all of the contributions are abstracts of talks given at the symposium. The final part of this volume is a section on research problems contributed by members of the conference and a report on a previous collection of problems edited by Professor W. K. Hayman after an earlier conference in 1964. This book is essential reading for research workers and graduate students interested in complex analysis.

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    Product details

    • Date Published: March 2011
    • format: Adobe eBook Reader
    • isbn: 9780511891809
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Part I. Contributions of participants:
    1. A minimal-area problem in conformal mapping Dov Aharonov and Harold S. Shapiro
    2. A remark on schlicht functions with quasi-conformal extensions Lars V. Ahlfors
    3. Some extremal problems for univalent functions, harmonic measures, and subharmonic functions Albert Baernstein
    4. On coefficient problems for certain power series D. A. Brannan
    5. Approximation by analytic functions uniformly continuous on a set Leon Brown and Allen Shields
    6. A meromorphic function with assigned Nevanlinna deficiencies David Drasin
    7. Estimation of coefficients of univalent functions by Tauberian remainder theorems Peter L. Duren
    8. The Pade table of functions having a finite number of essential singularities Albert Edrei
    9. Extremal problems of the cos-type Albert Edrei
    10. A cos-problem and a differential inequality Matts Essen
    11. Applications of Denjoy integral inequalities to growth problems for subharmonic and meromorphic functions Matts Essen and Daniel F. Shea
    12. A theorem on min I z I log I f (z) I /T(r, f) W. H. J. Fuchs
    13. The LP- integrability of the partial derivatives of a quasi-conformal mapping F. W. Gehring
    14. A Hilbert space method in the theory of schlicht functions H. Grunsky and James A. Jenkins
    15. An extremal problem concerning entire functions with radially distributed zeros Simon Hellerstein and Daniel F. Shea
    16. Local behavior of subharmonic functions A. Huber
    17. A general form of the annulus theorem James A. Jenkins
    18. Two problems on HP spaces J. P. Kahane
    19. Approximation on curves by linear combinations of exponentials J. Korevaar
    20. Two results on means of harmonic functions U. Kuran
    21. The Fatou limits of outer functions A. J. Lohwater and G. Piranian
    22. A proof Zeev Nehari
    23. Completeness questions and related Dirichlet polynomials D. J. Newman
    24. On the boundary behaviour of normal functions Ch. Pommerenke
    25. Joint approximation in the complex domain L. A. Rubel
    26. Some linear operators in function theory T. B. Sheil-Small
    27. Analogues of the elliptic modular functions in R3 Uri Srebrt
    28. On some phenomena and problems of the powersum- method Paul Turan
    29. Meromorphic functions with large sums of deficiencies Allen Weitsman
    30. On D. J. Patil's remarkable generalisation of Cauchy's formula L. C. Young
    31. Analytic functions and harmonic analysis Lawrence Zalcman
    Part II. Research problems in function theory: W. K. Hayman
    Progress on the previous problems
    New problems.

  • Editors

    J. Clunie

    W. K. Hayman

    Contributors

    Dov Aharonov, Harold S. Shapiro, Lars V. Ahlfors, Albert Baernstein, D. A. Brannan, Leon Brown, Allen Shields, David Drasin, Peter L. Duren, Albert Edrei, Matts Essen, Daniel F. Shea, F. W. Gehring, H. Grunsky, James A. Jenkins, Simon Hellerstein, A. Huber, J. P. Kahane, J. Korevaa, U. Kuran, A. J. Lohwater , G. Piranian, Zeev Nehari, D. J. Newman, Ch. Pommerenke, L. A. Rubel, T. B. Sheil-Small, Uri Srebrt, Paul Turan, Allen Weitsman, L. C. Young, Lawrence Zalcman, W. K. Hayman

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