location:  Publications → journals → CJM
Abstract view

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.
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF

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