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Applications of the monogenic functional calculus for noncommuting systems of operators

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Abstract

The connection between Clifford analysis and the Weyl functional calculus for ad-tuple 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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  1. School of Mathematics, The University of New South Wales, 2052, Sydney, NSW, Australia

    Brian Jefferies

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Jefferies, B. Applications of the monogenic functional calculus for noncommuting systems of operators. AACA 11 (Suppl 1), 171–187 (2001). https://doi.org/10.1007/BF03042216

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