@article{JEDP_1987____A17_0, author = {Agmon, Shmuel}, title = {On the spectral theory of the laplacian on noncompact hyperbolic manifolds}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {17}, pages = {1--16}, publisher = {Ecole polytechnique}, year = {1987}, mrnumber = {89c:58128}, zbl = {0636.58037}, language = {en}, url = {http://www.numdam.org/item/JEDP_1987____A17_0/} }
Agmon, Shmuel. On the spectral theory of the laplacian on noncompact hyperbolic manifolds. Journées équations aux dérivées partielles (1987), article no. 17, 16 p. http://www.numdam.org/item/JEDP_1987____A17_0/
[1] Spectral theory of Schrödinger operators on Euclidean and non-Euclidean spaces, Comm. Pure Appl. Math., 39, 1986, pp. S3-S16. | Zbl
, ,[2] Asymptotic properties of solutions of differential equations with simple characteristics, J. Analyse Math. 30, 1976, pp. 1-38. | MR | Zbl
, and , ,[3] Die Resolvente zum Eigenwert problem der automorphen Formen in der hyperbolischen Ebene, I, II, III, Math. ann. 203, 1973, pp. 295-330 ; Math. Z., 132, 1973 pp. 99-134 ; Math. Ann. 208, 1974, pp. 99-132. | Zbl
, ,[4] Expansion in eigenfunctirons of the Laplace operator in the fundamental domain of a discrete group on the Lobachevski plane, Trudy Moscow Mat. Obsch. 17, 1967, pp. 323-350 ; English transl., Trans. Moscow Math. Soc., 17, 1967, pp. 357-386. | Zbl
, ,[5] Scattering theory and automorphic functions, Seminar of the Steklov Mathematical Institute of Leningrad 27, 1972, pp. 161-193. | MR | Zbl
, and , ,[6] Fourier coefficeints of the resolvent for a Fuchsian group, J. Für die Reine und Angewandte Math., 293-294, 1977, pp. 143-203. | Zbl
, ,[7] Eignespaces of the Laplacian ; Integral representations and irreducibility, J. Func. Analysis, 17, 1974, pp. 328-353. | MR | Zbl
,[8] The Anaysis of Linear Partial differential Equations II, Springer-Verlag, New York, 1983.
, ,[9] Scattering Theory for Automorpic Functions, Annals of Mathematics Studies 87, Princeton University Press, Princeton, 1976. | Zbl
, , and , ,[10] Translation representation for automorphic solutions of the wave equation in non-Euclidean spaces, I, II, III, Comm. Pure Appl. Math. 37, 1984, pp. 303-324, pp. 779-813 and 38, 1985, pp. 179-208. | Zbl
, , and , ,[11] Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Ann. 121, 1949, pp. 141-183. | Zbl
, ,[12] The theory of Elisenstein series for Kleinian groups, Contemporary Mathematics, 53, 1986, pp. 357-370. | Zbl
, ,[13] Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature, M. I. T. preprint, 1986.
, , and , ,[14] Eigenfunctions of the Laplacian on a real hyerbolic space, J. Math. Soc. Japan, 27, 1975, pp. 82-105. | Zbl
, ,[15] Spectral theory for Riemannian manifolds with cusps and related trace formula, Math. Nachtr. 111, 1983, pp. 197-288. | MR | Zbl
, ,[16] The Laplacian operator on a Riemann surface, I, II, III, Comp. Math. 31, 1975, pp. 83-107 ; 32, 1976, pp. 71-112 ; 33, 1976, pp. 227-259. | Numdam | Zbl
, ,[17] The Laplace operator on a hyperbolic manifold, I. Spectral and scattering theory, Univ. of Kentucky preprint, 1986.
, ,[18] Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene, I, II, Math. ann. 167, 1966, pp. 292-337 ; 168, 1967, pp. 261-324. | Zbl
, ,[19] Discontinuous groups and harmonic analysis, Proc. Internat. Congress of Mathematicians, Stockholm, 1962, pp. 177-189.
, ,[20] Spectral Theory of Automorphic Functions, Proc. Steklov Inst. of Math. 153, 1981 ; English translation, Amer. Math. Soc., 1982. | Zbl
, ,