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Meromorphic or Holomorphic Completion of a Reinhardt Domain

Published online by Cambridge University Press:  22 January 2016

Eiichi Sakai
Eiichi Sakai*
Affiliation:
Department of Mathematics, Kanazawa University
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In the theory of functions of several complex variables, the problem about the continuation of meromorphic functions has not been much investigated for a long time in spite of its importance except the deeper result of the continuity theorem due to E. E. Levi [4] and H. Kneser [3], The difficulty of its investigation is based on the following reasons: we can not use the tools of not only Cauchy’s integral formula but also the power series and there are indetermination points for the meromorphic function of many variables different from one variable. Therefore we shall also follow the Levi and Kneser’s method and seek for the aspect of meromorphic completion of a Reinhardt domain in Cn.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 38 , March 1970 , pp. 1 - 12
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

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