Geodesic
On the Poisson Integral of Step Functions and Minimal Surfaces
Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 154-160

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DOI

Applications of minimal surface methods are made to obtain information about univalent harmonic mappings. In the case where the mapping arises as the Poisson integral of a step function, lower bounds for the number of zeros of the dilatation are obtained in terms of the geometry of the image.
DOI : 10.4153/CMB-2002-018-5
Mots-clés : 30C62, 31A05, 31A20, 49Q05, harmonic mappings, dilatation, minimal surfaces 
Weitsman, Allen. On the Poisson Integral of Step Functions and Minimal Surfaces. Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 154-160. doi: 10.4153/CMB-2002-018-5
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     title = {On the {Poisson} {Integral} of {Step} {Functions} and {Minimal} {Surfaces}},
     journal = {Canadian mathematical bulletin},
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     year = {2002},
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     doi = {10.4153/CMB-2002-018-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-018-5/}
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