Melrose, Richard B. Fibrations, compactifications and algebras of pseudodifferential operators. (English) Zbl 0853.35142 Hörmander, Lars (ed.) et al., Partial differential equations and mathematical physics. The Danish-Swedish analysis seminar, Copenhagen, Denmark, Lund, Sweden, March 17-19, May 19-21, 1995. Proceedings. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 21, 246-261 (1996). The author considers algebras of pseudodifferential operators on compact manifolds with boundary, emphasizing the relationship to compactifications of non-compact spaces. A precise theory is not presented here, but some general ideas are given on different situations, namely scattering calculus and fibred cusp calculus; for details the reader is addressed to forthcoming papers of the author and Mazzeo, Zworski, Vasy and Wunsch.For the entire collection see [Zbl 0836.00030]. Reviewer: L.Rodino (Torino) Cited in 1 ReviewCited in 6 Documents MSC: 35S05 Pseudodifferential operators as generalizations of partial differential operators 47G30 Pseudodifferential operators Keywords:algebras of pseudodifferential operators on compact manifolds; scattering calculus; fibred cusp calculus PDFBibTeX XMLCite \textit{R. B. Melrose}, Prog. Nonlinear Differ. Equ. Appl. 21, 246--261 (1996; Zbl 0853.35142)