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Quasiconformal Actions on Domains in Space

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Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 11))

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Abstract

The purpose of this paper is to investigate the topological and analytical restrictions on a domain D in euclidean n-space R n on which an infinite discrete quasiconformal group can act. We will see that the restrictions are indeed severe, unlike the case of a discrete group of topological or differentiable homeomorphisms.

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© 1988 Springer-Verlag New York Inc.

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Martin, G.J. (1988). Quasiconformal Actions on Domains in Space. In: Drasin, D., Earle, C.J., Gehring, F.W., Kra, I., Marden, A. (eds) Holomorphic Functions and Moduli II. Mathematical Sciences Research Institute Publications, vol 11. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9611-6_8

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  • DOI: https://doi.org/10.1007/978-1-4613-9611-6_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9613-0

  • Online ISBN: 978-1-4613-9611-6

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