A. R. Mirotin
Published 2016-11-20Version 1
The paper deals with (multidimensional and one-dimensional) Bochner-Phillips functional calculus. Bounded perturbations of Bernstein functions of (one or several commuting) semigroup generators on Banach spaces are considered, conditions for Lipschitzness and Frechet-differentiability of such functions are obtained, estimates for the norm of commutators are proved, and a generalization of Livschits-Kre\u{\i}n trace formula derived.
Trace inequalities for completely monotone functions and Bernstein functions
On properties of Bernstein functions of several complex variables
Generalization of the energy distance by Bernstein functions
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