On some properties of the multidimensional Bochner-Phillips functional calculus
Adolf Ruvimovich Mirotin · Siberian Mathematical Journal · 2011
We develop the multidimensional functional calculus of semigroup generators which is based on the class of Bernstein functions in several variables. We establish spectral mapping theorems, give a holomorphy condition for the semigroups generated by the operators arising in this calculus, as well as prove the moment inequality for these operators.