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A symmetric functional calculus for noncommuting systems of sectorial operators

open access: yes, 2003
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 $\mathbb^n+1$.
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