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VOL. 42 | 2007 Function theory in sectors and the analytic functional calculus for systems of operators
Brian Jefferies

Editor(s) Alan McIntosh, Pierre Portal

Abstract

The connection between holomorphic and monogenic functions in sectors is used to construct an analytic functional calculus for several sectorial operators acting in a Banach space. The results are applied to the $H^\infty$-functional calculus for the differentiation operators on a Lipschitz surface.

Information

Published: 1 January 2007
First available in Project Euclid: 18 November 2014

zbMATH: 1160.47012
MathSciNet: MR2328511

Rights: Copyright © 2007, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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