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# Universal Series on a Riemann Surface

Published:2011-03-04
Printed: Oct 2011
• Raphaël Clouâtre,
Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.
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## Abstract

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.
 MSC Classifications: 30B60 - Completeness problems, closure of a system of functions 30E10 - Approximation in the complex domain 30F99 - None of the above, but in this section

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