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VOL. 41 | 2003 A symmetric functional calculus for noncommuting systems of sectorial operators


Given a system $A = (A_1, . . . , A_n)$ of linear operators whose real linear combinations have spectra contained in a fixed sector in $\mathbbC$ and satisfy resolvent bounds there, functions $f(A)$ of the system $A$ of operators can be formed for monogenic functions f having decay at zero and infinity in a corresponding sector in $\mathbb^n+1$. The paper discusses how the functional calculus $f \mapsto f(A)$ might be extended to a larger class of monogenic functions and its relationship with a functional calculus for analytic functions in a sector of $\mathbbC_n$.


Published: 1 January 2003
First available in Project Euclid: 18 November 2014

zbMATH: 1128.47022
MathSciNet: MR1994516

Rights: Copyright © 2003, 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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