eprintid: 1542503 rev_number: 17 eprint_status: archive userid: 608 dir: disk0/01/54/25/03 datestamp: 2017-02-24 15:40:10 lastmod: 2020-02-12 18:18:35 status_changed: 2017-02-24 15:40:10 type: working_paper metadata_visibility: show creators_name: Isozaki, H creators_name: Kurylev, Y creators_name: Lassas, M title: Spectral theory and inverse problem on asymptotically hyperbolic orbifolds ispublished: submitted divisions: UCL divisions: A01 divisions: B04 divisions: C06 divisions: F59 keywords: Math.AP, math.AP, 35R30, 58J50, 57R18 abstract: We consider an inverse problem associated with $n$-dimensional asymptotically hyperbolic orbifolds $(n \geq 2)$ having a finite number of cusps and regular ends. By observing solutions of the Helmholtz equation at the cusp, we introduce a generalized $S$-matrix, and then show that it determines the manifolds with its Riemannian metric and the orbifold structure. date: 2013-12-02 oa_status: green full_text_type: other language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 1210224 lyricists_name: Kurylev, Yaroslav lyricists_id: YKURL27 actors_name: Kurylev, Yaroslav actors_name: Dewerpe, Marie actors_id: YKURL27 actors_id: MDDEW97 actors_role: owner actors_role: impersonator full_text_status: public citation: Isozaki, H; Kurylev, Y; Lassas, M; (2013) Spectral theory and inverse problem on asymptotically hyperbolic orbifolds. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1542503/1/1312.0421v1.pdf