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Book Information

Author(s): H. O. Cordes
Title: Spectral theory of linear differential operators and comparison algebras
Additional book information: London Mathematical Society Lecture Notes Series, vol. 76, Cambridge University Press, Cambridge, New York, Melbourne, 1987, ix + 342 pp., $29.95. ISBN 0-521-28443-0

[BU] J. Bokobza and A. Unterberger, Opérateurs de Calderón-Zygmund précisés, C. R. Acad. Sci. Paris 259 (1964), 1612-1614. MR 176360

[C1] A. Calderón, Uniqueness in the Cauchy problem for partial differential equations, Amer. J. Math. 80 (1958), 16-36. MR 104925

[C2] H. Cordes, An algebra of singular integral operators with two symbol homomorphisms, Bull. Amer. Math. Soc. 75 (1969), 37-42. MR 234320

[CGT] J. Cheeger, M. Gromov and M. Taylor, Finite propagation speed, kernel estimates for functions of the Laplace operators, and the geometry of complete Riemannian manifolds, J. Differential Geom. 17 (1982), 15-54. MR 658471

[CZ] A. Calderón and A. Zygmund, Singular integral operators and differential equations, Amer. J. Math. 79 (1957), 901-921. MR 100768

[D1] A. Dynin, Singular integral operators of an arbitrary order on a manifold, Dokl. Akad. Nauk 141 (1961), 21-23 (= Soviet Math. Dokl. 2 (1961), 1375-1377). MR 155205

[D2] A. Dynin, Inversion problem for singular integral operators: C*-approach, Proc. Nat. Acad. Sci. U.S.A. 75 (1978), 4668-4670. MR 507929

[D3] A. Dynin, Algebra generated by classical pseudodifferential operators on open Riemannian manifolds, Preprint (1988). MR 1077423

[E] J. Eichorn, Elliptic differential operators on non-compact manifolds, Seminar Analysis of the Karl-Weierstrass-Institute 1986/1987, Teubner-Texte zur Mathematik vol. 106, pp. 4-170, Teubner, Leipzig, 1988.

[H] L. Hörmander, Pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 501-517. MR 180740

[G] I. Gohberg, On the theory of multidimensional singular integral operators, Dokl. Akad. Nauk 133 (1960) (= Soviet Math. Dokl. 1 (1960), 960-963). MR 124704

[KN] J. Kohn and L. Nirenberg, An algebra of pseudodifferential operators, Comm. Pure Appl. Math. 18 (1965), 269-305. MR 176362

[M] R. Melrose, Pseudodifferential operators with corners, Manuscript MIT, Boston, 1987.

[P] B. A. Plamenevskij, Algebras of pseudodifferential operators, "Nauka", Moscow, (1986) (Russian). MR 869253

[R] R. Roe, Elliptic operators, topology and asymptotic methods, Cambridge Univ. Press, 1988.

[S] B. W. Schultze, Pseudodifferential operators on manifolds with singularities, Akad. Verlagsges, Leipzig, North-Holland (in preparation).

Review Information:
Journal: Bull. Amer. Math. Soc. 21 (1989), 105-108.
DOI: 10.1090/S0273-0979-1989-15777-7
PII: S 0273-0979(1989)15777-7

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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