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On Isomorphisms of Meromorphic Function Fields

Published online by Cambridge University Press:  20 November 2018

James J. Kelleher
James J. Kelleher*
Affiliation:
Columbia University, New York, New York
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In this work we deal with algebraic properties of some fields of functions meromorphic in the complex plane with a view to determining the possible isomorphisms between two such fields. Interest in problems of this type began with a paper by Bers (2), in which it was shown that the algebraic structure of the ring of functions analytic on a plane region determines the conformai structure of the region to within conformai or anti-conformal equivalence, and this result was later extended to arbitrary non-compact Riemann surfaces by Nakai (7).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 1230 - 1241
Copyright
Copyright © Canadian Mathematical Society 1968

Footnotes

This work was partially supported by the National Science Foundation under Grant NSF GP-5455.

References

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