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Book Review
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Book Information
Author(s):
Samuil L. Krušhkal′
Title:
Quasiconformal mappings and Riemann surfaces
Additional book information:
edited by Irwin Kra, John Wiley and Sons, New York, 1979, xii + 319 pp., $24.95
References:
- 1.
- L. V. Ahlfors, Zur theorie der Überlagerungsflächen, Acta Math. 65 (1935), 157-194. MR 1555403
- 2.
- L. V. Ahlfors, On quasiconformal mappings, J. d'Analyse Math. 3 (1954), 1-58. MR 64875
- 3.
- L. V. Ahlfors and L. Bers, Riemann's mapping theorem for variable metrics, Ann. of Math. 72 (1960), 385-404. MR 115006
- 4.
- L. Bers, Quasiconformal mappings and Teichmüller's theorem, Analytic Functions, Princeton Univ. Press, Princeton, N. J., 1960. MR 114898
- 5.
- L. Bers, Quasiconformal mappings, with applications to differential equations, function theory and topology, Bull. Amer. Math. Soc. 83 (1977), 1083-1100. MR 463433
- 6.
- D. Drasin, The inverse problem of the Nevanlinna theory, Acta Math. 138 (1977), 83-151. MR 585644
- 7.
- F. W. Gehring, Rings and quasiconformal mappings in space, Trans. Amer. Math. Soc. 103 (1962), 353-393. MR 139735
- 8.
- F. W. Gehring and J. Väisälä, The coefficients of quasiconformality of domains in spaceActa Math. 114 (1965), 1-70. MR 180674
- 9.
- H. Grötzsch, Über möglichst konforme Abbildungen von schlichten Bereichen, Ber. Verh. Sachs. Akad. Wiss. 84 (1932), 114-120.
- 10.
- K. Hag, The coefficients of quasiconformality of tori in n-space (to appear). MR 604713
- 11.
- M. A. Lavrentieff, Sur une classe de représentations continues, Mat Sb. 42 (1935), 407-423.
- 12.
- C. Loewner, On the conformal capacity in space, J. Math. Mech. 8 (1959), 411-414. MR 104785
- 13.
- D. Menchoff, Sur une généralisation d'un théorème de M. H. Bohr, Mat Sb. 44 (1937), 339-354.
- 14.
- G. D. Mostow, Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms, Inst Hautes Etudes Sci. Publ. Math. 34 (1968), 53-104. MR 236383
- 15.
- Ju. G. Reshetnyak, On the stability of conformal mappings in multi-dimensional spaces, Sib. Mat. Zhurnal 8 (1967), 91-114. (Russian) MR 209469
- 16.
- O. Teichmüller, Extremale quasikonforme Abbildungen und quadratische Differentiale, Preuss. Akad. Wiss. 22 (1940), 1-197. MR 3242
Additional Information:
Reviewer(s):
F. W.
Gehring
Review Information:
Journal:
Bull. Amer. Math. Soc.
3
(1980),
1062-1065.
DOI:
10.1090/S0273-0979-1980-14855-7
PII:
S 0273-0979(1980)14855-7
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