Bulletin of the American Mathematical Society

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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, $59.95$

André Unterberger and Juliane Bokobza, Les opérateurs de Calderon-Zygmund précisés, C. R. Acad. Sci. Paris 259 (1964), 1612–1614 (French). MR 176360

A.-P. Calderón and A. Zygmund, Singular integral operators and differential equations, Amer. J. Math. 79 (1957), 901–921. MR 100768, DOI 10.2307/2372441

H. O. Cordes, Spectral theory of linear differential operators and comparison algebras, London Mathematical Society Lecture Note Series, vol. 76, Cambridge University Press, Cambridge, 1987. MR 890743, DOI 10.1017/CBO9780511662836

A. S. Dynin, Singular operators of arbitrary order on a manifold, Dokl. Akad. Nauk SSSR 141 (1961), 21–23 (Russian). MR 0155205

Alain Grigis and Johannes Sjöstrand, Microlocal analysis for differential operators, London Mathematical Society Lecture Note Series, vol. 196, Cambridge University Press, Cambridge, 1994. An introduction. MR 1269107, DOI 10.1017/CBO9780511721441

Lars Hörmander, Pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 501–517. MR 180740, DOI 10.1002/cpa.3160180307

Lars Hörmander, The analysis of linear partial differential operators. III, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 274, Springer-Verlag, Berlin, 1985. Pseudodifferential operators. MR 781536

J. J. Kohn and L. Nirenberg, An algebra of pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 269–305. MR 176362, DOI 10.1002/cpa.3160180121

Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946

Didier Robert, Autour de l’approximation semi-classique, Progress in Mathematics, vol. 68, Birkhäuser Boston, Inc., Boston, MA, 1987 (French). MR 897108

R. T. Seeley, Refinement of the functional calculus of Calderón and Zygmund, Nederl. Akad. Wetensch. Proc. Ser. A 68=Indag. Math. 27 (1965), 521–531. MR 0226450

M. A. Shubin, Pseudodifferential operators and spectral theory, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1987. Translated from the Russian by Stig I. Andersson. MR 883081, DOI 10.1007/978-3-642-96854-9

A. Unterberger, Quantification de certains espaces hermitiens symétriques, Séminaire Goulaouic-Schwartz, 1979–1980 (French), École Polytech., Palaiseau, 1980, pp. Exp. No. 16, 13 (French). MR 600701

Harald Upmeier, Jordan algebras in analysis, operator theory, and quantum mechanics, CBMS Regional Conference Series in Mathematics, vol. 67, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1987. MR 874756, DOI 10.1090/cbms/067

[We]

H. Weyl, The theory of groups and quantum mechanics, Dover, 1950.

[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.