Scattering theory
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- by Peter D. Lax and Ralph S. Phillips PDF
- Bull. Amer. Math. Soc. 70 (1964), 130-142
References
- Arne Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math. 81 (1948), 239–255. MR 27954, DOI 10.1007/BF02395019
- Paul R. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math. 208 (1961), 102–112. MR 152896, DOI 10.1515/crll.1961.208.102
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
- Henry Helson and David Lowdenslager, Prediction theory and Fourier series in several variables, Acta Math. 99 (1958), 165–202. MR 97688, DOI 10.1007/BF02392425
- P. D. Lax, Remarks on the preceding paper, Comm. Pure Appl. Math. 10 (1957), 617–622. MR 93702, DOI 10.1002/cpa.3160100409
- Peter D. Lax, Translation invariant spaces, Acta Math. 101 (1959), 163–178. MR 105620, DOI 10.1007/BF02559553
- P. D. Lax, Translation invariant spaces, Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960) Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1961, pp. 299–306. MR 0140931
- Peter D. Lax and Ralph S. Phillips, The wave equation in exterior domains, Bull. Amer. Math. Soc. 68 (1962), 47–49. MR 131059, DOI 10.1090/S0002-9904-1962-10697-1
- Peter D. Lax, Cathleen S. Morawetz, and Ralph 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. MR 142890, DOI 10.1090/S0002-9904-1962-10865-9
- James W. Moeller, On the spectra of some translation invariant spaces, J. Math. Anal. Appl. 4 (1962), 276–296. MR 150592, DOI 10.1016/0022-247X(62)90055-0
- R. S. Phillips, Spectral theory for semi-groups of linear operators, Trans. Amer. Math. Soc. 71 (1951), 393–415. MR 44737, DOI 10.1090/S0002-9947-1951-0044737-9
- 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 (93) (1960), 3–26 (Russian). MR 0114041
- Y. Fourès and I. E. Segal, Causality and analyticity, Trans. Amer. Math. Soc. 78 (1955), 385–405. MR 69401, DOI 10.1090/S0002-9947-1955-0069401-5
Additional Information
- Journal: Bull. Amer. Math. Soc. 70 (1964), 130-142
- DOI: https://doi.org/10.1090/S0002-9904-1964-11051-X
- MathSciNet review: 0167868