Book Review
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MathSciNet review:
1567879
Full text of review:
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This review is available free of charge.
Book Information:
Author:
P. E. T. Jorgensen
Title:
Operators and representation theory: Canonical models for algebras of operators arising in quantum mechanics
Additional book information:
North-Holland Mathematics Studies, vol. 147, North-Holland, Amsterdam, 1988, viii+338 pp., Dfl. 175.00. ISBN 0-444-70321-7.
Roe W. Goodman, Analytic and entire vectors for representations of Lie groups, Trans. Amer. Math. Soc. 143 (1969), 55–76. MR 248285, DOI 10.1090/S0002-9947-1969-0248285-6
Roe Goodman and Nolan R. Wallach, Positive-energy representations of the group of diffeomorphisms of the circle, Infinite-dimensional groups with applications (Berkeley, Calif., 1984) Math. Sci. Res. Inst. Publ., vol. 4, Springer, New York, 1985, pp. 125–135. MR 823317, DOI 10.1007/978-1-4612-1104-4_{4}
Andrew Pressley and Graeme Segal, Loop groups, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1986. Oxford Science Publications. MR 900587
Michael E. Taylor, Noncommutative harmonic analysis, Mathematical Surveys and Monographs, vol. 22, American Mathematical Society, Providence, RI, 1986. MR 852988, DOI 10.1090/surv/022
- 1.
- Roe Goodman, Analytic and entire vectors for representations of Lie groups, Trans. Amer. Math. Soc. 143 (1969), 55-76. MR 0248285
- 2.
- Roe Goodman and Nolan R. Wallach, Positive-energy representations of the group of diffeomorphisms of the circle, Infinite Dimensional Groups with Applications (V. Kac, ed.), Mathematical Sciences Research Institute Publications, vol. 4, Springer-Verlag, New York, 1985. MR 823317
- 3.
- Andrew Pressley and Graeme Segal, Loop groups, Oxford Math. Monographs, Clarendon Press, Oxford, 1986. MR 900587
- 4.
- Michael E. Taylor, Noncommutative harmonic analysis, Mathematical Surveys and Monographs, no. 22, Amer. Math. Soc., Providence, R. I., 1986. MR 852988
Review Information:
Reviewer:
Roe Goodman
Journal:
Bull. Amer. Math. Soc.
23 (1990), 551-554
DOI:
https://doi.org/10.1090/S0273-0979-1990-15977-4