Book Review
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MathSciNet review:
1567706
Full text of review:
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Book Information:
Author:
Olli Lehto
Title:
Univalent functions and Teichmüller spaces
Additional book information:
Graduate Texts in Mathematics, vol. 109, Springer-Verlag, New York, Berlin, Heidelberg, London, Paris, New York, 1987, xii+257 pp., $46.00. ISBN 0-387-96310-3.
William Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Mathematics, vol. 820, Springer, Berlin, 1980. MR 590044
Lipman Bers, Finite-dimensional Teichmüller spaces and generalizations, Bull. Amer. Math. Soc. (N.S.) 5 (1981), no. 2, 131–172. MR 621883, DOI 10.1090/S0273-0979-1981-14933-8
Frederick P. Gardiner, Teichmüller theory and quadratic differentials, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1987. A Wiley-Interscience Publication. MR 903027
W. J. Harvey, Spaces of discrete groups, Discrete groups and automorphic functions (Proc. Conf., Cambridge, 1975) Academic Press, London, 1977, pp. 295–348. MR 0498974
Irwin Kra, Canonical mappings between Teichmüller spaces, Bull. Amer. Math. Soc. (N.S.) 4 (1981), no. 2, 143–179. MR 598682, DOI 10.1090/S0273-0979-1981-14870-9
O. Lehto and K. I. Virtanen, Quasiconformal mappings in the plane, 2nd ed., Die Grundlehren der mathematischen Wissenschaften, Band 126, Springer-Verlag, New York-Heidelberg, 1973. Translated from the German by K. W. Lucas. MR 0344463
Subhashis Nag, The complex analytic theory of Teichmüller spaces, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York, 1988. A Wiley-Interscience Publication. MR 927291
- 1.
- W. Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Math., vol. 820, Springer-Verlag, Berlin, Heidelberg, New York, 1980. MR 0590044
- 2.
- L. Bers, Finite dimensional Teichmüller spaces and generalizations, Bull. Amer. Math. Soc. (N. S. ) 5 (1981), 131-172. MR 621883
- 3.
- F. P. Gardiner, Teichmüller theory and quadratic differentials, Wiley Interscience, John Wiley and Sons, New York, 1987. MR 903027
- 4.
- W. J. Harvey (ed. ), Discrete groups and automorphic functions, Academic Press, London and New York, 1977. MR 498974
- 5.
- I. Kra, Canonical mappings between Teichmüller spaces, Bull. Amer. Math. Soc. (N. S. ) 4 (1981), 143-179. MR 598682
- 6.
- O. Lehto and K. I. Virtanen, Quasiconformal mappings in the plane, Springer-Verlag, Berlin and New York, 1973. MR 344463
- 7.
- S. Nag, The complex analytic theory of Teichmüller spaces, Wiley-Interscience, John Wiley and Sons, New York, 1988. MR 927291
Review Information:
Reviewer:
Clifford J. Earle
Journal:
Bull. Amer. Math. Soc.
19 (1988), 488-490
DOI:
https://doi.org/10.1090/S0273-0979-1988-15711-4