Geodesic
Monge–Ampère operators and Jessen functions of holomorphic almost periodic mappings
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 3, pp. 274-296 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a holomorphic almost periodic mapping $f$ from a tube domain of ${\mathbf C}^n$ into ${\mathbf C}^q$, the properties of its Jessen function, i.e., the mean value of the function $\log|f|^2$, are studied. In particular, certain relations between the Jessen function and behavior of the mapping and its zero set are obtained. To this end certain operators $\Phi_l$ on plurisubharmonic functions are introduced in a way that for a smooth function $u$, $$ (\Phi_l[u])^l\,(dd^c|z|^2)^n=(dd^cu)^l\wedge(dd^c|z|^2)^{n-l}. $$ 
@article{JMAG_1998_5_3_a8,
     author = {Alexander Rashkovskii},
     title = {Monge{\textendash}Amp\`ere operators and {Jessen} functions of holomorphic almost periodic mappings},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {274--296},
     year = {1998},
     volume = {5},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a8/}
}
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Alexander Rashkovskii. Monge–Ampère operators and Jessen functions of holomorphic almost periodic mappings. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 3, pp. 274-296. http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a8/