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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Weyl calculus for hermitian matrices


Author: Brian Jefferies
Journal: Proc. Amer. Math. Soc. 124 (1996), 121-128
MSC (1991): Primary 47A60, 47B15; Secondary 35E05, 15A60
MathSciNet review: 1301032
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Abstract: The Weyl calculus is a means of constructing functions of a system of hermitian operators which do not necessarily commute with each other. This note gives a new proof of a formula, due to E. Nelson, for the Weyl calculus associated with a system of hermitian matrices.


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Additional Information

Brian Jefferies
Affiliation: address School of Mathematics, University of New South Wales, New South Wales 2052, Australia
Email: B.Jefferies@unsw.edu.au

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03143-7
PII: S 0002-9939(96)03143-7
Keywords: Functional calculus, Weyl calculus, hermitian matrix, distribution
Received by editor(s): July 5, 1994
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society