Scattering matrices and scattering geodesics of locally symmetric spaces

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1. [1] Borel A., Introduction aux groupes arithmétiques, Hermann, Paris, 1969. Zbl0186.33202MR244260
2. [2] Borel A., Linear algebraic groups, in: Proc. of Symp. in Pure Math., Vol. 9, pp. 3–19. Zbl0205.50503
3. [3] Borel A. Reduction theory for arithmetic subgroups, in: Proc. of Symp. in Pure Math., Vol. 9, pp. 20–25. Zbl0213.47201
4. [4] Borel A., Serre J.-P., Corners and arithmetic groups, Comment. Math. Helv.48 (1973) 436-491. Zbl0274.22011MR387495
5. [5] Borel A., Tits J., Groupes réductifs, I.H.E.S27 (1965) 55-150. Zbl0145.17402MR207712
6. [6] Duistermaat J., Guillemin V., The spectrum of positive elliptic operators and periodic bicharacteristics, Inv. Math.29 (1975) 39-79. Zbl0307.35071MR405514
7. [7] Freitag E., Hilbert Modular Forms, Springer-Verlag, 1990. Zbl0702.11029MR1050763
8. [8] Gelfand I.M., Piatetski-Shapiro I.I., Unitary representations in homogeneous spaces with discrete stationary groups, Soviet Math. Dokl.3 (1962) 1528-1531. Zbl0119.27002
9. [9] Guillemin V., Sojourn times and asymptotic properties of the scattering matrix, Publ. RIMS, Kyoto Univ.12 (1977) 69-88, (Suppl.). Zbl0381.35064MR448453
10. [10] Guillemin V., Notes on scattering theory, MIT, 1976, unpublished notes. 
11. [11] Harish-Chandra, Automorphic Forms on Semisimple Lie Groups, Lect. Notes in Math., 62, 1968. Zbl0186.04702
12. [12] Hörmander L., Fourier integral operators I, Acta Math.127 (1971) 79-183. Zbl0212.46601MR388463
13. [13] Hörmander L., The Analysis of Linear Partial Differential Operators, Vol. I, Springer-Verlag, Berlin, 1983. Zbl0521.35002
14. [14] Hörmander L., The Analysis of Linear Partial Differential Operators, Vol. IV, Springer-Verlag, Berlin, 1985. Zbl0601.35001
15. [15] Ji L., The Weyl upper bound on the discrete spectrum of locally symmetric spaces, J.D.G.51 (1999) 97-147. Zbl1036.58028MR1703605
16. [16] Ji L., McPherson R., Geometry of compactifications of locally symmetric spaces, preprint, 1997. 
17. [17] Kuznecov V.N., Petersson's conjecture for cusp forms of weight 0 and Linnik's conjecture: sums of Kloosterman sums, Math. USSR Sbornik39 (1981). Zbl0461.10017
18. [18] Langlands R., On the Functional Equations Satisfied by Eisenstein Series, Lect. Notes in Math., 544, 1976. Zbl0332.10018MR579181
19. [19] Langlands R., Eisenstein series, the trace formula, and the modern theory of automorphic forms, in: Number Theory, Trace Formula and Discrete Groups, Academic Press, Boston, MA, 1989, pp. 125-155. Zbl0671.10025MR993313
20. [20] Lax P., Phillips R., Scattering Theory for Automorphic Functions, Princeton University Press, 1978. Zbl0362.10022
21. [21] Müller W., The trace class conjecture in the theory of automorphic forms, Ann. of Math.130 (1989) 473-529. Zbl0701.11019MR1025165
22. [22] Petkov V., Stoyanov L., Geometry of Reflecting Rays and Inverse Spectral Problems, Wiley, 1992. Zbl0761.35077MR1172998
23. [23] Saper L., Tilings and finite energy retractions of locally symmetric spaces, Comment. Math. Helv.72 (1997) 167-202. Zbl0890.22003MR1470087
24. [24] Selberg A., On discontinuous groups in higher dimensional symmetric spaces, in: Contributions to Function Theory, Tata Inst. of Fund. Res, Bombay, 1960. Zbl0201.36603MR130324
25. [25] Zelditch S., Kuznecov sum formulæ and Szegö limit formulæ on manifolds, Comm. P.D.E.17 (1992) 221-260. Zbl0749.58062MR1151262

1. Lizhen Ji, Maciej Zworski, Correction and supplements to “Scattering matrices and scattering geodesics of locally symmetric spaces”
2. Lizhen Ji, Robert Macpherson, Geometry of compactifications of locally symmetric spaces