Geodesic
Pluriharmonic continuation in a fixed direction
Sbornik. Mathematics, Tome 196 (2005) no. 5, pp. 765-775 Cet article a éte moissonné depuis la source Math-Net.Ru

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Questions of the holomorphic and the pluriharmonic continuation of functions in a fixed direction are considered. It is shown that in the continuation of pluriharmonic functions from a boundary system of lines one usually confronts many-valued extensions. This phenomenon is directly related to a counterexample of Levenberg and Slodkowski demonstrating that there exists no potential for a pseudoconvex set in the general case. 
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     author = {A. S. Sadullaev},
     title = {Pluriharmonic continuation in a~fixed direction},
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     volume = {196},
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     url = {http://geodesic.mathdoc.fr/item/SM_2005_196_5_a5/}
}
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A. S. Sadullaev. Pluriharmonic continuation in a fixed direction. Sbornik. Mathematics, Tome 196 (2005) no. 5, pp. 765-775. http://geodesic.mathdoc.fr/item/SM_2005_196_5_a5/

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