| Abstract: | Abstract The purpose of this article is to prove a sharp bound on the number of resonances for the Laplacian on conformally compact manifolds with constant negative curvature near infinity, thus improving the polynomial bound of Guillopé and Zworki (Guillopé, L., Zworski, M. (1995b] Guillopé, L. and Zworski, M. 1995b. Upper bounds on the number of resonances for noncompact Riemann surfaces. J. Funct. Anal., 129: 364–389. Crossref], Web of Science ®] , Google Scholar]). Polynomial bound on the number of resonances for some complete spaces of constant negative curvature near infinity. Asympt. Anal. 11:1–22). |
