On the connections of Hille-Phillips functional calculus with Bochner-Phillips functional calculus
Functional Analysis
2020-01-01 v1
Abstract
The extension of Hille-Phillips functional calculus of semigroup generators which leads to unbounded operators is considered. Connections of this calculus to Bochner-Phillips functional calculus are indicated. In particular, the multiplication rule and the composition rule are proved. Several examples are given.
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Cite
@article{arxiv.1912.12423,
title = {On the connections of Hille-Phillips functional calculus with Bochner-Phillips functional calculus},
author = {A. R. Mirotin},
journal= {arXiv preprint arXiv:1912.12423},
year = {2020}
}
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