Universal Series on a Riemann Surface
Canadian journal of mathematics, Tome 63 (2011) no. 5, pp. 1025-1037
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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.
Clouâtre, Raphäel. Universal Series on a Riemann Surface. Canadian journal of mathematics, Tome 63 (2011) no. 5, pp. 1025-1037. doi: 10.4153/CJM-2011-013-x
@article{10_4153_CJM_2011_013_x,
author = {Clou\^atre, Raph\"ael},
title = {Universal {Series} on a {Riemann} {Surface}},
journal = {Canadian journal of mathematics},
pages = {1025--1037},
year = {2011},
volume = {63},
number = {5},
doi = {10.4153/CJM-2011-013-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-013-x/}
}
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