Resolvent representations for functions of sectorial operators

We obtain integral representations for the resolvent of (A), where is a holomorphic function mapping the right half-plane and the right half-axis into themselves, and A is a sectorial operator on a Banach space. As a corollary, for a wide class of functions , we show that the operator 􀀀 (A) gene...

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Bibliographic Details
Main Authors: Batty, C, Gomilko, A, Tomilov, Y
Format: Journal article
Published: Elsevier 2017