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Book Review

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Book Information:

Author: H. O. Cordes
Title: The technique of pseudodifferential operators
Additional book information: Cambridge University Press, 1995, xii +382 pp., ISBN 0-521-28443-0, $34.95

Authors: 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., ISBN 0-8493-7873-7, $59.95

References [Enhancements On Off] (What's this?)

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  • [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.

Review Information:

Reviewer: Alexander Dynin
Affiliation: Ohio State University
Journal: Bull. Amer. Math. Soc. 33 (1996), 381-384
MSC (1991): Primary 35-02, 35S05; Secondary 43A85
Review copyright: © Copyright 1996 American Mathematical Society
American Mathematical Society