English

On some properties of multidimensional Bochner-Phillips functional calculus

Functional Analysis 2019-02-26 v1

Abstract

The multidimensional functional calculus of semigroup generators, based on the class of Bernstein functions in several variables is developed, the spectral mapping theorems for joint spectra have been stated, the condition for holomorphy of semigroups, generated by operators which arises in the calculus is given, and the moment inequality for such operators is proved.

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Cite

@article{arxiv.1902.08637,
  title  = {On some properties of multidimensional Bochner-Phillips functional calculus},
  author = {A. R. Mirotin},
  journal= {arXiv preprint arXiv:1902.08637},
  year   = {2019}
}

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in Russian

R2 v1 2026-06-23T07:48:32.101Z