Book Review
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MathSciNet review:
1568021
Full text of review:
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Book Information:
Author:
Ricardo Weder
Title:
Spectral and scattering theory for wave propagation in perturbed stratified media
Additional book information:
Appl. Math. Sci., vol. 87, Springer-Verlag, Berlin and New York, 188 + pp., US$35.00. ISBN 0-387-97357-5.
Teruo Ikebe, Eigenfunction expansions associated with the Schroedinger operators and their applications to scattering theory, Arch. Rational Mech. Anal. 5 (1960), 1–34 (1960). MR 128355, DOI 10.1007/BF00252896
Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
Tosio Kato, Scattering theory with two Hilbert spaces, J. Functional Analysis 1 (1967), 342–369. MR 0220097, DOI 10.1016/0022-1236(67)90019-5
A. Ya. Povzner, On expansions in functions which are solutions of a scattering problem, Dokl. Akad. Nauk SSSR (N.S.) 104 (1955), 360–363 (Russian). MR 0078506
Michael Reed and Barry Simon, Methods of modern mathematical physics. I. Functional analysis, Academic Press, New York-London, 1972. MR 0493419
[6] -, Methods of Mathematical Physics. II, Academic Press, New York, 1975.
[7] -, Methods of Mathematical Physics. III, Academic Press, New York, 1979.
[8] -, Methods of Mathematical Physics. IV, Academic Press, New York, 1978.
Calvin H. Wilcox, Sound propagation in stratified fluids, Applied Mathematical Sciences, vol. 50, Springer-Verlag, New York, 1984. MR 742932, DOI 10.1007/978-1-4612-1124-2
- [1]
- T. Ikebe, Eigenfunction expansions associated with the Schrödinger operator and their application to scattering theory, Arch. Rational Mech. Anal. 5 (1960), 1-34. MR 0128355 (23:B1398)
- [2]
- T. Kato, Perturbation theory for linear operators, Springer-Verlag, Berlin and New York, 1966. MR 0203473 (34:3324)
- [3]
- -, Scattering theory with two Hilbert spaces, J. Funct. Anal. 1 (1967), 342-369. MR 0220097 (36:3164)
- [4]
- A. Y. Povzner, On eigenfunction expansions in terms of scattering solutions, Dokl. Akad. Nauk SSSR 104 (1955). MR 0078506 (17:1205a)
- [5]
- M. Reed and B. Simon, Methods of Mathematical Physics. I, Academic Press, New York, 1972. MR 0493419 (58:12429a)
- [6]
- -, Methods of Mathematical Physics. II, Academic Press, New York, 1975.
- [7]
- -, Methods of Mathematical Physics. III, Academic Press, New York, 1979.
- [8]
- -, Methods of Mathematical Physics. IV, Academic Press, New York, 1978.
- [9]
- C. H. Wilcox, Sound propagation in stratified fluids, Appl. Math. Sci., vol. 50, Springer-Verlag, Berlin and New York, 1984. MR 742932 (85i:76040)
Review Information:
Reviewer:
Calvin H. Wilcox
Journal:
Bull. Amer. Math. Soc.
28 (1993), 137-141
DOI:
https://doi.org/10.1090/S0273-0979-1993-00332-X
