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Sojourn times and asymptotic properties of the scattering matrix. (English) Zbl 0381.35064

MSC:
35P25 Scattering theory for PDEs
35B40 Asymptotic behavior of solutions to PDEs
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[1] Faddeev, L., ” Expansion in eigenfunctions of the Laplace operator in the funda- mental domain of a discrete group in the Lobacevski plane”. Trudy Moscov. Mat. Obsc., vol. 17 (1967), 323-350. · Zbl 0201.41601
[2] Faddeev, L. and Pavlov, B., ”Scattering theory and automorphic functions” Seminar of Steklov Math. Institute of Leningrad, vol. 27 (1972), 161-193,
[3] Guillemin, V., ” Notes on scattering theory”, (zeroxed notes) M. I. T. Math. Dept.
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[5] Lax, P. and Phillips, R., Scattering Theory, Academic Press, New York (1967). · Zbl 0186.16301
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[7] Lehner, J., Discontinuous groups and automorphic functions, AMS Math. Surveys, N^\circ 8, 1964. · Zbl 0178.42902
[8] Majda, A., ”High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering”, Comm. Pure Appl. Math, (to appear). · Zbl 0463.35048
[9] Siegel, C. L., Topics in Complex Function Theory, Vol. 2, Wiley (Interscience), New York, (1973). · Zbl 0257.32002
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