Fedosov, Boris V.; Golse, François; Leichtnam, Eric; Schrohe, Elmar The noncommutative residue for manifolds with boundary. (English) Zbl 0877.58005 J. Funct. Anal. 142, No. 1, 1-31 (1996). The authors give an interesting construction of a trace on the algebra of classical elements in Boutet de Monvel’s calculus on a compact manifold with boundary of dimension \(n>2\). It is shown that this trace is the unique continuous trace on this algebra up to multiplication by a constant. It is an elegant contribution to the subject. Reviewer: Th.M.Rassias (Athens) Cited in 5 ReviewsCited in 75 Documents MSC: 46L85 Noncommutative topology 46L87 Noncommutative differential geometry Keywords:algebra; trace; compact manifold; noncommutative residue; pseudodifferential operators; symbol; Laplace-Beltrami operator × Cite Format Result Cite Review PDF Full Text: DOI