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Book Review
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Book Information
Author(s):
H. O. Cordes
Title:
The technique of pseudodifferential operators
Additional book information:
Cambridge University Press,
1995,
xii +382 pp.,
$34.95,
ISBN 0-521-28443-0
Author(s):
A. Unterberger and H. Upmeier
Title:
Pseudodifferential analysis on symmetric cones
Additional book information:
Studies in Advanced Mathematics, CRC Press,
Boca Raton, New York, London, and Tokyo,
1996,
iii+216 pp.,
$59.95,
ISBN 0-8493-7873-7
References:
- [BU]
- J. Bokobza and A. Unterberger, Opérateurs de Calderón-Zygmund précises, C. R. Acad. Sci. Paris 259 (1964), 1612--1614. MR 31:635a
- [CZ]
- A. Calderon and A. Zygmund, Singular integral operators and differential equations, Amer. J. Math. 79 (1957), 901--921. MR 20:7196
- [Co]
- M. Cordes, Spectral theory of linear differential operators and comparison algebras, Cambridge Univ. Press, London Math. Soc. Lecture Note Series 76 (1987). MR 88g:35144
- [Dy]
- A. Dynin, Singular integral operators of an arbitrary order on a manifold (=Soviet Math. Dokl 2 (1961), 1375--1377), Dokl. Akad. Nauk 141 (1961), 21--23. MR 27:5144
- [GS]
- A. Grigis and J. Sjöstrand, Microlocal Analysis for Differential Operators, An Introduction, Cambridge Univ. Press, London Math. Soc. Lecture Note Series 196 (1994). MR 95d:35009
- [H1]
- L. Hörmander, Pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 501--517. MR 31:4970
- [H2]
- ------, The analysis of linear partial differential operators III, Grundlehren Math. Wiss., vol. 274, Springer-Verlag, 1985. MR 87d:35002a
- [KN]
- J. Kohn and L. Nirenberg, An algebra of pseudodifferential operators, Comm. Pure Appl. Math. 18 (1965), 296--305. MR 31:636
- [vN]
- J. von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton Univ. Press, 1955. MR 16:654a
- [Ro]
- D. Robert, Autour de l'approximation semi-classieure, Birkhäuser, 1987. MR 89g:81016
- [Se]
- R. Seeley, Refinement of the functional calculus of Calderon and Zygmund, Ned. Akad. Wet. Proceedings Ser A 68=Indag. Math. 27 (1965), 521--531. MR 37:2040
- [Sh]
- M. Shubin, Pseudodifferential operators and spectral theory, Springer Ser. Soviet Math., Springer, 1987. MR 88c:47105
- [Un]
- A. Unterberger, Quantification de certaines espaces hermitiens symétriques, Sém.
Goulaouic-Schwartz 1979-1980, Ecole Polytechnique Paris (1980). MR 82e:58045 - [Up]
- H. Upmeier, Jordan algebras in analysis, operator theory, and quantum mechanics, CBMS Regional Conf. in Math 67 (1987), Amer. Math. Soc., Providence, RI. MR 88h:17032
- [We]
- H. Weyl, The theory of groups and quantum mechanics, Dover, 1950.
Additional Information:
Reviewer(s):
Alexander
Dynin
Affiliation:
Ohio State University
Email:
dynin@math.ohio-state.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
33
(1996),
381-384.
MSC
(1991):
Primary 35-02, 35S05;
Secondary 43A85
DOI:
10.1090/S0273-0979-96-00667-2
PII:
S 0273-0979(96)00667-2
Copyright of article:
Copyright
1996,
American Mathematical Society
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