Geodesic
Properties of Bernstein Functions of Several Complex Variables
Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 216-226

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A multidimensional generalization of the class of Bernstein functions is introduced and the properties of functions belonging to this class are studied. In particular, a new proof of the integral representation of Bernstein functions of several variables is given. Examples are considered.
Keywords: Bernstein function of several variables, absolutely monotone function, integral representation, Markov process. 
@article{MZM_2013_93_2_a6,
     author = {A. R. Mirotin},
     title = {Properties of {Bernstein} {Functions} of {Several} {Complex} {Variables}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {216--226},
     publisher = {mathdoc},
     volume = {93},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a6/}
}
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A. R. Mirotin. Properties of Bernstein Functions of Several Complex Variables. Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 216-226. http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a6/