Proceedings of the Symposium on Complex Analysis Canterbury 1973 (eBook, PDF)

Redaktion: Clunie, J.

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 8. August 1974
• Englisch
• ISBN-13: 9780511891809
• Artikelnr.: 38194134

Inhaltsangabe

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.