The Weyl calculus for hermitian matrices
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- by Brian Jefferies PDF
- Proc. Amer. Math. Soc. 124 (1996), 121-128 Request permission
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.References
- Robert F. V. Anderson, The Weyl functional calculus, J. Functional Analysis 4 (1969), 240–267. MR 0635128, DOI 10.1016/0022-1236(69)90013-5
- Edward Nelson, Operants: A functional calculus for non-commuting operators, Functional Analysis and Related Fields (Proc. Conf. for M. Stone, Univ. Chicago, Chicago, Ill., 1968) Springer, New York, 1970, pp. 172–187. MR 0412857
- Walter Rudin, Real and complex analysis, 3rd ed., McGraw-Hill Book Co., New York, 1987. MR 924157
- Michael E. Taylor, Functions of several self-adjoint operators, Proc. Amer. Math. Soc. 19 (1968), 91–98. MR 220082, DOI 10.1090/S0002-9939-1968-0220082-1
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
- Received by editor(s): July 5, 1994
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 121-128
- MSC (1991): Primary 47A60, 47B15; Secondary 35E05, 15A60
- DOI: https://doi.org/10.1090/S0002-9939-96-03143-7
- MathSciNet review: 1301032