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Lacunas in the Support of the Weyl Calculus for Two Hermitian Matrices
2003
Journal of the Australian Mathematical Society
The connection between Clifford analysis and the Weyl functional calculus for a d-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. 2000 Mathematics subject classification: primary 47A60, 46H30; secondary 47A25, 30G35.
doi:10.1017/s1446788700003499
fatcat:hfbs3g7khrftvfcgb52fqwlqc4