Journal title
Mathematische Annalen
DOI
10.1007/s00208-019-01924-2
Issue
1-2
Volume
379
Last updated
2024-09-22T16:27:51.32+01:00
Page
23-93
Abstract
We construct a new bounded functional calculus for the generators of bounded semigroups on Hilbert spaces and generators of bounded holomorphic semigroups on Banach spaces. The calculus is a natural (and strict) extension of the classical Hille–Phillips functional calculus, and it is compatible with the other well-known functional calculi. It satisfies the standard properties of functional calculi, provides a unified and direct approach to a number of norm-estimates in the literature, and allows improvements of some of them.
Symplectic ID
1063358
Submitted to ORA
On
Favourite
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Publication type
Journal Article
Publication date
12 Nov 2019