FREDHOLM THEORY FOR DEGENERATE PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBERED BOUNDARIES

DOI10.1081/PDE-100001754zbMath0988.58011MaRDI QIDQ2747912

Robert Lauter, Sergiu Moroianu

Publication date: 19 June 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Fredholm indexFredholm elementsdouble-edge pseudodifferential operatorsweighted double-edge Sobolev spacesWodzicki-type residue trace

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Fredholm structures on infinite-dimensional manifolds (58B15) Exotic index theories on manifolds (58J22) Noncommutative global analysis, noncommutative residues (58J42) Index theory (19K56)

Related Items

Complex Powers and Non-compact Manifolds ⋮ Analysis on singular spaces: Lie manifolds and operator algebras ⋮ Homology of pseudodifferential operators on manifolds with fibered cusps ⋮ Fourier integral operators on Lie groupoids ⋮ Complex powers of hypoelliptic pseudodifferential operators ⋮ An index formula for perturbed Dirac operators on Lie manifolds ⋮ Pseudodifferential operators on manifolds with foliated boundaries ⋮ Polyhomogeneity of metrics compatible with a Lie structure at Infinity along the Ricci flow ⋮ On the topology of the space of invertible pseudodifferential operators of order 0 ⋮ Algebras of pseudodifferential operators on complete manifolds ⋮ Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I:A PrioriEstimates ⋮ Boundary value problems and layer potentials on manifolds with cylindrical ends ⋮ An index formula on manifolds with fibered cusp ends ⋮ Bott periodicity for fibred cusp operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local invariants of spectral asymmetry
• The homology of algebras of pseudo-differential symbols and the noncommutative residue
• The action functional in non-commutative geometry
• Relative Inversion in der Störungstheorie von Operatoren und \(\Psi\)- Algebren. (Relative inversions in perturbation theory of operators and \(\Psi\)-algebras)
• An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R
• Resolvent of the Laplacian on strictly pseudoconvex domains
• Some remarks on the paper of Callias
• Dixmier's trace for boundary value problems
• Pseudodifferential operators on manifolds with fibred boundaries.
• Analytic surgery and the eta invariant
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• The index of elliptic operators. I
• Fourier integral operators. I
• The noncommutative residue for manifolds with boundary
• Principe d'Oka, K-théorie et systèmes dynamiques non commutatifs. (Oka's principle, K-theory and noncommutative dynamical systems)
• Elliptic theory of differential edge operators I
• An Operator Theoretical Approach to Enveloping ϕ* - and C* - Algebras of Melrose Algebras of Totally Characteristic Pseudodifferential Operators
• Multiplicative Decompositions of Holomorphic Fredholm Functions and ψ*-Algebras
• Homology of pseudodifferential operators on manifolds with fibered cusps

This page was built for publication: FREDHOLM THEORY FOR DEGENERATE PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBERED BOUNDARIES