Forming functions of operators is a basic task of many areas of
linear analysis and quantum physics. Weyl 's functional calculus,
initially applied to the position and momentum operators of quantum
mechanics, also makes sense for finite systems of selfadjoint
operators. By using the Cauchy integral formula available from
Clifford analysis, the book examines how functions of a finite
collection of operators can be formed when the Weyl calculus is not
defined. The technique is applied to the determination of the
support of the fundamental solution of a symmetric hyperbolic
system of partial differential equations and to proving the
boundedness of the Cauchy integral operator on a Lipschitz
surface.
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