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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Scattering theory for automorphic functions
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by Peter D. Lax and Ralph S. Phillips PDF
Bull. Amer. Math. Soc. 2 (1980), 261-295
References
  • L. D. Faddeev, The eigenfunction expansion of Laplace’s operator on the fundamental domain of a discrete group on the Lobačevskiĭ plane, Trudy Moskov. Mat. Obšč. 17 (1967), 323–350 (Russian). MR 0236768
  • B. S. Pavlov and L. D. Faddeev, Scattering theory and automorphic functions, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 27 (1972), 161–193 (Russian). Boundary value problems of mathematical physics and related questions in the theory of functions, 6. MR 0320781
  • I. C. Gohberg and M. G. Kreĭn, Introduction to the theory of linear nonselfadjoint operators, Translations of Mathematical Monographs, Vol. 18, American Mathematical Society, Providence, R.I., 1969. Translated from the Russian by A. Feinstein. MR 0246142, DOI 10.1090/mmono/018
  • Tomio Kubota, Elementary theory of Eisenstein series, Kodansha, Ltd., Tokyo; Halsted Press [John Wiley & Sons, Inc.], New York-London-Sydney, 1973. MR 0429749
  • Peter D. Lax and Ralph S. Phillips, Scattering theory, Pure and Applied Mathematics, Vol. 26, Academic Press, New York-London, 1967. MR 0217440
  • Peter D. Lax and Ralph S. Phillips, Scattering theory for automorphic functions, Annals of Mathematics Studies, No. 87, Princeton University Press, Princeton, N.J., 1976. MR 0562288
  • Peter D. Lax and Ralph S. Phillips, The scattering of sound waves by an obstacle, Comm. Pure Appl. Math. 30 (1977), no. 2, 195–233. MR 442510, DOI 10.1002/cpa.3160300204
  • Peter D. Lax and Ralph S. Phillips, Translation representations for the solution of the non-Euclidean wave equation, Comm. Pure Appl. Math. 32 (1979), no. 5, 617–667. MR 533296, DOI 10.1002/cpa.3160320503
  • H. P. McKean, Selberg’s trace formula as applied to a compact Riemann surface, Comm. Pure Appl. Math. 25 (1972), 225–246. MR 473166, DOI 10.1002/cpa.3160250302
  • A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. (N.S.) 20 (1956), 47–87. MR 88511
    • 11. M. A. Semenov-Tian-Shansky, Harmonic analysis on Riemannian symmetric spaces of negative curvature and scattering theory. Math. USSR Izvestija, vol. 10 (1976), 535-563.
Additional Information
  • Journal: Bull. Amer. Math. Soc. 2 (1980), 261-295
  • DOI: https://doi.org/10.1090/S0273-0979-1980-14735-7
  • MathSciNet review: 555264