The Laplace operator on hyperbolic three manifolds with cusps of non-maximal rank

citation_title=On the spectral theory of the Laplacian on non-compact hyperbolic manifolds; citation_publication_date=1987; citation_id=CR1; citation_author=S. Agmon; citation_publisher=Ecole Polytechnique citation_journal_title=J. Funct. Anal.; citation_title=Essential self-adjointness of powers of generators of hyperbolic equations; citation_author=P. Chernoff; citation_volume=12; citation_publication_date=1973; citation_pages=401-414; citation_id=CR2 citation_journal_title=Tr. Mosk. Mat. O.; citation_title=Expansion in eigenfunctions of the Laplace operator in the fundamental domain of a discrete group on the Labacevskii plane; citation_author=L. Faddeev; citation_volume=17; citation_publication_date=1967; citation_pages=323-350; citation_id=CR3 [FHP1] Froese, R., Hislop, P., Perry, P.: A Mourre Estimate and Related Bounds for Hyperbolic Manifolds with Cusps of Non-maximal Rank. J. Funct. Anal. (to appear) citation_journal_title=Commun. Pure Appl. Math.; citation_title=Translation representation for automorphic solutions of the non-Euclidean wave equation, I, II and III; citation_author=P. Lax, R.S. Phillips; citation_volume=37; citation_publication_date=1984; citation_pages=303-328; citation_id=CR5 [LP4] Lax, P., Phillips, R.S.: Translation representation for automorphic solutions of the non-Euclidean wave equation, IV. (Preprint) citation_journal_title=J. Funct. Anal.; citation_title=The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces; citation_author=P. Lax, R.S. Phillips; citation_volume=46; citation_publication_date=1982; citation_pages=280-350; citation_id=CR7 citation_journal_title=Math. Ann.; citation_title=Über eine neue Art von nichtanalytischen automorphen Functionen und die Bestimmung Dirichletscher Reihen durch Functionalgleichungen; citation_author=H. Maass; citation_volume=121; citation_publication_date=1949; citation_pages=141-183; citation_id=CR8 citation_title=The Theory of Eisenstein Series for Kleinian Groups; citation_inbook_title=The Selberg Trace Formula and Related Topics; citation_publication_date=1986; citation_pages=357-370; citation_id=CR9; citation_author=N. Mandouvalos; citation_publisher=Am. Math. Soc. [M2] Mandouvalos, N.: Scattering operator, inner product formula, and “Maass-Selberg” relations for Kleinian groups. Mem. Am. Math. Soc.400 (1989) citation_journal_title=Proc. Lond. Math. Soc., III. Ser.; citation_title=Spectral theory and Eisenstein series for Kleinian groups; citation_author=N. Mandouvalos; citation_volume=57; citation_issue=no. 2; citation_publication_date=1988; citation_pages=209-238; citation_id=CR11 citation_journal_title=J. Funct. Anal.; citation_title=Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature; citation_author=R. Mazzeo, R. Melrose; citation_volume=75; citation_publication_date=1987; citation_pages=260-310; citation_id=CR12 citation_journal_title=Compos. Math.; citation_title=The Laplacian operator on a Riemann surface; citation_author=S.J. Patterson; citation_volume=31; citation_publication_date=1975; citation_pages=83-107; citation_id=CR13 citation_journal_title=J. Reine Angew. Math.; citation_title=The Laplace operator on a hyperbolic manifold, II. Eisenstein series and the scattering matrix; citation_author=P. Perry; citation_volume=398; citation_publication_date=1989; citation_pages=67-91; citation_id=CR14 citation_journal_title=Math. Ann.; citation_title=Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil. I; citation_author=W. Roelcke; citation_volume=167; citation_publication_date=1966; citation_pages=292-337; citation_id=CR15 citation_title=On discontinuous groups in higher dimensional symmetric spaces. Contributions to Function Theory; citation_inbook_title=Int. Colloq. Function Theory, Bombay 1960; citation_publication_date=1960; citation_pages=147-164; citation_id=CR16; citation_author=A. Selberg; citation_publisher=Tata Institute of Fundamental Research