Bulletin of the American Mathematical Society

MathSciNet review: 1567695
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: M. A. Shubin
Title: Pseudodifferential operators and spectral theory
Additional book information: Translated by Stig I. Andersson. Springer-Verlag, Berlin, Heidelberg, New York, 1987, x + 278 pp., $55.00. ISBN 3-540-13621-5.

F. A. Berezin, Wick and anti-Wick symbols of operators, Mat. Sb. (N.S.) 86(128) (1971), 578–610 (Russian). MR 0291839

Gerd Grubb, Functional calculus of pseudodifferential boundary problems, Progress in Mathematics, vol. 65, Birkhäuser Boston, Inc., Boston, MA, 1986. MR 885088, DOI 10.1007/978-1-4757-1898-0

Lars Hörmander, The spectral function of an elliptic operator, Acta Math. 121 (1968), 193–218. MR 609014, DOI 10.1007/BF02391913

L. Hörmander, The Weyl calculus of pseudodifferential operators, Comm. Pure Appl. Math. 32 (1979), no. 3, 360–444. MR 517939, DOI 10.1002/cpa.3160320304

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

R. T. Seeley, Complex powers of an elliptic operator, Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966) Amer. Math. Soc., Providence, R.I., 1967, pp. 288–307. MR 0237943

Michael E. Taylor, Pseudodifferential operators, Princeton Mathematical Series, No. 34, Princeton University Press, Princeton, N.J., 1981. MR 618463

[Ber] F. A. Berezin, Wick and anti-Wick operator symbols, Mat. Sb. 86 (1971), 578-610; English transl. in Math. USSR-Sb. 15 (1971), 577-606. MR 0291839




[Gr] G. Grubb, Functional calculus of pseudo-differential boundary problems, Birkhäuser, Boston, 1986. MR 885088




[Hö1] L. Hörmander, The spectral function of an elliptic operator, Acta Math. 121 (1968), 193-218. MR 609014




[Hö2] L. Hörmander, The Weyl calculus of pseudo-differential operators, Comm. Pure Appl. Math. 23 (1979), 359-443. MR 517939




[Hö3] L. Hörmander, The analysis of linear partial differential operators. III, Springer-Verlag, Berlin and New York, 1985. MR 781537




[See] R. T. Seeley, Complex powers of an elliptic operator, Proc. Sympos. Pure Math., vol. 10, Amer. Math. Soc., Providence, R.I., 1967, pp. 288-307. MR 237943




[Tay] M. Taylor, Pseudodifferential operators, Princeton Univ. Press, Princeton, N.J., 1981. MR 618463