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

2019/12/28 by А. Р. Миротин, Mirotin, A. R.
Computer Science · Mathematics · #Matrix Theory and Algorithms #Functional Equations Stability Results #Fractional Differential Equations Solutions

paper · pdf · doi:10.48550/arxiv.1912.12423

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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