J. Aust. Math. Soc.
75 (2003), 85124

Lacunas in the support of the Weyl calculus for two hermitian matrices

Brian Jefferies
School of Mathematics
The University of New South Wales
Sydney NSW 2052
Australia
b.jefferies@unsw.edu.au



Bernd Straub
School of Mathematics
The University of New South Wales
Sydney NSW 2052
Australia
bernd@maths.unsw.edu.au



Abstract

The connection between Clifford analysis and
the Weyl functional calculus for a dtuple of
bounded selfadjoint operators is used
to prove a geometric condition due to J. Bazer
and D. H. Y. Yen for a point to be in the
support of the Weyl functional calculus for a
pair of hermitian matrices. Examples are
exhibited in which the support has gaps.

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