Separating Singularities of Holomorphic Functions
Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 473-477
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We present a short proof for a classical result on separating singularities of holomorphic functions. The proof is based on the open mapping theorem and the fusion lemma of Roth, which is a basic tool in complex approximation theory. The same method yields similar separation results for other classes of functions.
Müller, Jürgen; Wengenroth, Jochen. Separating Singularities of Holomorphic Functions. Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 473-477. doi: 10.4153/CMB-1998-061-x
@article{10_4153_CMB_1998_061_x,
author = {M\"uller, J\"urgen and Wengenroth, Jochen},
title = {Separating {Singularities} of {Holomorphic} {Functions}},
journal = {Canadian mathematical bulletin},
pages = {473--477},
year = {1998},
volume = {41},
number = {4},
doi = {10.4153/CMB-1998-061-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-061-x/}
}
TY - JOUR AU - Müller, Jürgen AU - Wengenroth, Jochen TI - Separating Singularities of Holomorphic Functions JO - Canadian mathematical bulletin PY - 1998 SP - 473 EP - 477 VL - 41 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-061-x/ DO - 10.4153/CMB-1998-061-x ID - 10_4153_CMB_1998_061_x ER -
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