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Kleinian groups of divergence type. (English) Zbl 0466.30036

MSC:

30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization)
20H10 Fuchsian groups and their generalizations (group-theoretic aspects)
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References:

[1] Lars V. Ahlfors, Fundamental polyhedrons and limit point sets of Kleinian groups, Proc. Nat. Acad. Sci. U.S.A. 55 (1966), 251 – 254. · Zbl 0132.30801
[2] A. F. Beardon and P. J. Nicholls, On classical series associated with Kleinian groups, J. London Math. Soc. (2) 5 (1972), 645 – 655. · Zbl 0246.30018
[3] Bernard Maskit, On Poincaré’s theorem for fundamental polygons, Advances in Math. 7 (1971), 219 – 230. · Zbl 0223.30008
[4] Peter J. Nicholls, Fundamental regions and the type problem for a Riemann surface, Math. Z. 174 (1980), no. 2, 187 – 196. · Zbl 0423.30038
[5] Burton Rodin and Leo Sario, Principal functions, In collaboration with Mitsuru Nakai, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1968. · Zbl 0159.10701
[6] L. Sario and M. Nakai, Classification theory of Riemann surfaces, Die Grundlehren der mathematischen Wissenschaften, Band 164, Springer-Verlag, New York-Berlin, 1970. · Zbl 0199.40603
[7] Dennis Sullivan, On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978) Ann. of Math. Stud., vol. 97, Princeton Univ. Press, Princeton, N.J., 1981, pp. 465 – 496.
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