Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. II. Applications to scattering theory
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- by Charles Irwin Goldstein
- Trans. Amer. Math. Soc. 135 (1969), 33-50
- DOI: https://doi.org/10.1090/S0002-9947-1969-0234141-6
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References
- Charles Irwin Goldstein, Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. I, Trans. Amer. Math. Soc. 135 (1969), 1–31. MR 234140, DOI 10.1090/S0002-9947-1969-0234140-4
- 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, Wave operators and unitary equivalence, Pacific J. Math. 15 (1965), 171–180. MR 180138, DOI 10.2140/pjm.1965.15.171
- Peter D. Lax and Ralph S. Phillips, Scattering theory, Pure and Applied Mathematics, Vol. 26, Academic Press, New York-London, 1967. MR 0217440
- Norman A. Shenk II, Eigenfunction expansions and scattering theory for the wave equation in an exterior region, Arch. Rational Mech. Anal. 21 (1966), 120–150. MR 187631, DOI 10.1007/BF00266571
- Norman Shenk, The invariance of wave operators associated with perturbations of $-\Delta$, J. Math. Mech. 17 (1967/1968), 1005–1021. MR 0227617
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 135 (1969), 33-50
- MSC: Primary 35.80
- DOI: https://doi.org/10.1090/S0002-9947-1969-0234141-6
- MathSciNet review: 0234141