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Asymptotic Behaviour of Convolution Semigroups

✍ Scribed by Maren Schmalmack


Publisher
Springer
Year
2005
Tongue
English
Weight
501 KB
Volume
71
Category
Article
ISSN
0037-1912

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Let {T (t)} tβ‰₯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 Ξ» β†’ R(Ξ», A)x has a bounded holomorphic extension to the right half -plane. For the class of integrable functions Ο† on [0, ∞) whose Fourier transforms are integ