We prove necessary and sufficient criteria of invertibility for planar harmonic mappings which generalize a classical result of H. Kneser, also known as the Radó–Kneser–Choquet theorem.
@article{ASNSP_2009_5_8_3_451_0,
author = {Alessandrini, Giovanni and Nesi, Vincenzo},
title = {Invertible harmonic mappings, beyond {Kneser}},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {451--468},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 8},
number = {3},
year = {2009},
mrnumber = {2574339},
zbl = {1182.31002},
language = {en},
url = {http://archive.numdam.org/item/ASNSP_2009_5_8_3_451_0/}
}
TY - JOUR AU - Alessandrini, Giovanni AU - Nesi, Vincenzo TI - Invertible harmonic mappings, beyond Kneser JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2009 SP - 451 EP - 468 VL - 8 IS - 3 PB - Scuola Normale Superiore, Pisa UR - http://archive.numdam.org/item/ASNSP_2009_5_8_3_451_0/ LA - en ID - ASNSP_2009_5_8_3_451_0 ER -
%0 Journal Article %A Alessandrini, Giovanni %A Nesi, Vincenzo %T Invertible harmonic mappings, beyond Kneser %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2009 %P 451-468 %V 8 %N 3 %I Scuola Normale Superiore, Pisa %U http://archive.numdam.org/item/ASNSP_2009_5_8_3_451_0/ %G en %F ASNSP_2009_5_8_3_451_0
Alessandrini, Giovanni; Nesi, Vincenzo. Invertible harmonic mappings, beyond Kneser. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 3, pp. 451-468. http://archive.numdam.org/item/ASNSP_2009_5_8_3_451_0/
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