A multidimensional generalization of the Bernstein class of functions and the properties of functions of the entered class are examined. In particular, a new proof of the integral representation of Bernstein functions of many variables is given. Examples are considered.
Trace inequalities for completely monotone functions and Bernstein functions
Generalization of the energy distance by Bernstein functions
Chaos in convolution operators on the space of entire functions of infinitely many complex variables
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