Abstract
Let G be a discrete subgroup of PU, (1,n; C). For a boundary point y of the Siegel domain, we define the generalized isometric sphere I y (f) of an element f of PU, (1,n; C). By using the generalized isometric spheres of elements of G, we construct a fundamental domain P y (G) for G,which is regarded as a generalization of the Ford domain And we show that the Dirichlet polyhedron D(w) for G with center w convereges to P y (G) as w → y.
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© 2000 Kluwer Academic Publishers
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Kamiya, S. (2000). Generalized Isometric spheres of Elements of PU(1,n;c). In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_39
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DOI: https://doi.org/10.1007/978-1-4613-0271-1_39
Publisher Name: Springer, Boston, MA
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