Bulletin of the American Mathematical Society
- Bull. Amer. Math. Soc.
- Volume 70, Number 1 (1964), 130-142.
Scattering theory
Peter D. Lax and Ralph S. Phillips
Full-text: Open access
Article information
Source
Bull. Amer. Math. Soc., Volume 70, Number 1 (1964), 130-142.
Dates
First available in Project Euclid: 4 July 2007
Permanent link to this document
https://projecteuclid.org/euclid.bams/1183525789
Mathematical Reviews number (MathSciNet)
MR0167868
Zentralblatt MATH identifier
0117.09104
Citation
Lax, Peter D.; Phillips, Ralph S. Scattering theory. Bull. Amer. Math. Soc. 70 (1964), no. 1, 130--142. https://projecteuclid.org/euclid.bams/1183525789
References
- 1. A. Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math. 81 (1949), 239-255.
- 2. P. R. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math. 108 (1961), 102-112.
- 3. E. Hille and R. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloq. Publ. Vol. 31, Amer. Math. Soc., Providence, R. I., 1957.
- 4. H. Helson and D. Lowdenslager, Prediction theory and Fourier series in several variables, Acta. Math. 99 (1958), 165-202.Zentralblatt MATH: 0082.28201
Mathematical Reviews (MathSciNet): MR97688
Digital Object Identifier: doi:10.1007/BF02392425 - 5. P. D. Lax, Remark on the preceding paper of Koosis, Comm. Pure Appl. Math. 10 (1957), 617-622.Zentralblatt MATH: 0080.31802
Mathematical Reviews (MathSciNet): MR93702
Digital Object Identifier: doi:10.1002/cpa.3160100409 - 6. P. D. Lax, Translation invariant spaces, Acta Math. 101 (1959), 163-178.Zentralblatt MATH: 0085.09102
Mathematical Reviews (MathSciNet): MR105620
Digital Object Identifier: doi:10.1007/BF02559553 - 7. P. D. Lax, Proceedings of the International Symposium on Linear Spaces, Hebrew University, Jerusalem, Pergamon Press, 1961, pp. 299-306.
- 8. P. D. Lax and R. S. Phillips, The wave equation in exterior domains, Bull. Amer. Math. Soc. 68 (1962), 47-49.Zentralblatt MATH: 0103.06401
Mathematical Reviews (MathSciNet): MR131059
Digital Object Identifier: doi:10.1090/S0002-9904-1962-10697-1
Project Euclid: euclid.bams/1183524458 - 9. P. D. Lax, C. S. Morawetz and R. S. Phillips, The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle, Bull. Amer. Math. Soc. 68 (1962), 593-595.Zentralblatt MATH: 0108.28301
Mathematical Reviews (MathSciNet): MR142890
Digital Object Identifier: doi:10.1090/S0002-9904-1962-10865-9
Project Euclid: euclid.bams/1183524931 - 10. J. W. Moeller, On the spectra of some translation invariant spaces, J. Math. Anal. Appl. 4 (1962), 276-296.Zentralblatt MATH: 0116.32301
Mathematical Reviews (MathSciNet): MR150592
Digital Object Identifier: doi:10.1016/0022-247X(62)90055-0 - 11. R. S. Phillips, Spectral theory for semigroups of linear operators, Trans. Amer. Math. Soc. 71 (1951), 393-415.Zentralblatt MATH: 0045.21502
Mathematical Reviews (MathSciNet): MR44737
Digital Object Identifier: doi:10.1090/S0002-9947-1951-0044737-9 - 12. A. Ya. Povzner and I. V. Suharevskiĭ, Discontinuities of the Green's function of mixed problems for the wave equation, Mat. Sb. (N.S.) 51 (1960), (93) 3-26.
- 13. Y. Fourès and I. E. Segal, Causality and analyticity, Trans. Amer. Math. Soc. 78 (1955), 385-405.
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