Polynomially Bounded C0-Semigroups |
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| Authors: | Tatjana Eisner |
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| Institution: | (1) Arbeitsbereich Funktionalanalysis, Mathematisches Institut, Universitat Tubingen, Auf der Morgenstelle 10, D-72076 Tubingen, Germany |
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| Abstract: | We characterize generators of polynomially bounded C0-semigroups in terms of an integrability condition
for the second power of the resolvent on vertical lines. This generalizes results by Gomilko, Shi and Feng
on bounded semigroups and by Malejki on polynomially bounded groups. |
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