We show that for every open Riemann surface with non-abelian fundamental group there is a multiple-valued function on such that the fiberwise convex hull of the graph of fails to contain the graph of a single-valued holomorphic function on .
Nous démontrons que pour toute surface de Riemann ouverte , de groupe fondamental non-abélien, il existe une fonction analytique multiforme sur telle que l’enveloppe convexe par fibre du graphe de ne contienne le graphe d’aucune fonction holomorphe uniforme sur .
@article{AIF_1990__40_2_357_0, author = {Barrett, David E.}, title = {Failure of averaging on multiply connected domains}, journal = {Annales de l'Institut Fourier}, pages = {357--370}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {40}, number = {2}, year = {1990}, doi = {10.5802/aif.1216}, zbl = {0726.30034}, mrnumber = {92b:30050}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1216/} }
TY - JOUR AU - Barrett, David E. TI - Failure of averaging on multiply connected domains JO - Annales de l'Institut Fourier PY - 1990 SP - 357 EP - 370 VL - 40 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1216/ DO - 10.5802/aif.1216 LA - en ID - AIF_1990__40_2_357_0 ER -
%0 Journal Article %A Barrett, David E. %T Failure of averaging on multiply connected domains %J Annales de l'Institut Fourier %D 1990 %P 357-370 %V 40 %N 2 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.1216/ %R 10.5802/aif.1216 %G en %F AIF_1990__40_2_357_0
Barrett, David E. Failure of averaging on multiply connected domains. Annales de l'Institut Fourier, Volume 40 (1990) no. 2, pp. 357-370. doi : 10.5802/aif.1216. https://aif.centre-mersenne.org/articles/10.5802/aif.1216/
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