Asymptotic Behaviour of C0–Semigroups wi
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Charles J. K. Batty; Ralph Chill; Jan van Neerven
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Article
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2000
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John Wiley and Sons
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English
⚖ 255 KB
Let {T (t)} t≥0 be a C 0 -semigroup on a Banach space X with generator A, and let T be the space of all x ∈ X such that the local resolvent λ → R(λ, A)x has a bounded holomorphic extension to the right half -plane. For the class of integrable functions φ on [0, ∞) whose Fourier transforms are integ