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Singular Sets of Some Kleinian Groups

Published online by Cambridge University Press:  22 January 2016

Tohru Akaza
Tohru Akaza*
Affiliation:
Mathematical Institute, Kanazawa University
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In our paper Cl] we showed that there exist Schottky groups whose singular sets have positive 1-dimensional measure. Since the example was very complicated, it is natural to seek for simpler examples. Further the problem how about the singular sets of more general groups occurs.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 26 , February 1966, pp. 127 - 143
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Akaza, T., Poincaré theta-series and singular sets of Schottky groups. Nagoya Math. Jour. 24 (1964), 43–65.Google Scholar
[2] Ford, L. R., Automorphic Functions. 2nd Ed. Chelsea (1951).Google Scholar
[3] Myrberg, P. J., Zur Theorie der Konvergenz der Poincaréschen Reihen. Ann. Acad. Sci. Fennicae, (A) 9, No. 4 (1916), 1–75.Google Scholar
[4] Myrberg, P. J., Die Kapazität der singulären Menge der linearen Gruppen. Ann. Acad. Sci. Fennicae, A. I. 10 (1941), 1–19.Google Scholar
[5] Petersson, H., Über den Bereich absoluter Konvergenz der Poincaré’schen Reihen. Acta Math. 80 (1948), 23–49.Google Scholar
[6] Sario, L., Über Riemannsche Flächen mit hebbarem Rand. Ann. Acad. Sci. Fennicae, A. E. 50 (1948), 1–79.Google Scholar
[7] Schottky, F., Über eine specialle Function, welche bei einer bestimmten linearen Transformation ihres Arguments unverädert bleibt. Crelle’s Jour. 101 (1887), 227–272.Google Scholar