Universal Series on a Riemann Surface
Printed: Oct 2011
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.
30B60 - Completeness problems, closure of a system of functions
30E10 - Approximation in the complex domain
30F99 - None of the above, but in this section