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| Authors: | Peer Christian Kunstmann Zeljko Strkalj |
| Affiliation: | Institute of Mathematics I, University of Karlsruhe, Englerstrasse 2, D-76128 Karlsruhe, Germany ; Department of Mathematics, 202 Mathematical Sciences Building, University of Missouri, Columbia, Missouri 65211 |
| Abstract: | Let  be the generator of a symmetric submarkovian semigroup in  . In this note we show that on  the operator  admits a bounded  functional calculus on the sector  for each  with  This improves a result due to M. Cowling. We apply our result to obtain maximal regularity for parabolic equations and evolutionary integral equations. |
| Keywords: | Submarkovian semigroups functional calculus |
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