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Double Cosets, Rotations and Isometric Circles

Double Cosets, Rotations and Isometric Circles In this note we present an alternative to Ford’s construction of the isometric circle of a Möbius map. This construction is based on the double coset decomposition of a group, together with the action of Möbius maps on spherical and hyperbolic spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Double Cosets, Rotations and Isometric Circles

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Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-021-00375-8
Publisher site
See Article on Publisher Site

Abstract

In this note we present an alternative to Ford’s construction of the isometric circle of a Möbius map. This construction is based on the double coset decomposition of a group, together with the action of Möbius maps on spherical and hyperbolic spaces.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Dec 1, 2021

Keywords: Möbius maps; Isometric circles; Double cosets; 51M10; 30F45; 30C35

References