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arXiv · 1912.12423

On the connections of Hille-Phillips functional calculus with Bochner-Phillips functional calculus

A. R. Mirotin
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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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A. R. Mirotin. 2019-12-28. On the connections of Hille-Phillips functional calculus with Bochner-Phillips functional calculus. https://arxiv.org/abs/1912.12423

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