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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)

MSC:

35S05 Pseudodifferential operators as generalizations of partial differential operators
47G30 Pseudodifferential operators
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