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Universal Series on a Riemann Surface |
Canad. J. Math. 63(2011), 1025-1037
Published:2011-03-04
Printed: Oct 2011
Printed: Oct 2011
- Raphaël Clouâtre,
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 |