|
The Weyl calculus for hermitian matrices
Author(s):
Brian
Jefferies
Journal:
Proc. Amer. Math. Soc.
124
(1996),
121-128.
MSC (1991):
Primary 47A60, 47B15;
Secondary 35E05, 15A60
MathSciNet review:
1301032
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
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:
- [A]
- R.F.V. Anderson, The Weyl functional calculus, J. Funct. Anal. 4 (1969), 240--267. MR 58:30405
- [N]
- E. Nelson, Operants: A functional calculus for non-commuting operators, Functional Analysis and Related Fields, Proceedings of a conference in honour of Professor Marshal Stone (Univ. of Chicago, May 1968) (F.E. Browder, ed.), Springer-Verlag, Berlin, Heidelberg, and New York, 1970, pp. (172--187). MR 54:978
- [R]
- W. Rudin, Real and complex analysis, 2nd ed., McGraw-Hill, New York, 1987. MR 88k:00002
- [T]
- M.E. Taylor, Functions of several self-adjoint operators, Proc. Amer. Math. Soc. 19 (1968), 91--98. MR 36:3149
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
47A60, 47B15,
35E05, 15A60
Retrieve articles in all Journals with
MSC (1991):
47A60, 47B15,
35E05, 15A60
Additional Information:
Brian
Jefferies
Affiliation:
School of Mathematics, University of New South Wales, New South Wales 2052, Australia
Email:
B.Jefferies@unsw.edu.au
DOI:
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
Copyright of article:
Copyright
1996,
American Mathematical Society
|
