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Asymptotic behaviour of the Urbanik semigroup

✍ Scribed by Berg, Christian; López, José Luis


Book ID
122287576
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
285 KB
Volume
195
Category
Article
ISSN
0021-9045

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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