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Universal Series on a Riemann Surface

Published online by Cambridge University Press:  20 November 2018

Raphäel Clouâtre
Raphäel Clouâtre*
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A. email: rclouatr@indiana.edu
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Abstract

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Every holomorphic function on a compact subset of a Riemann surface can be uniformly approximated by partial sums of a given series of functions. Those functions behave locally like the classical fundamental solutions of the Cauchy–Riemann operator in the plane.

Keywords

30B6030E1030F99
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 5 , 18 October 2011 , pp. 1025 - 1037
Copyright
Copyright © Canadian Mathematical Society 2011

References

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