Index theory for boundary value problems via continuous fields of \(C^*\)-algebras
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Publication:732050
DOI10.1016/j.jfa.2009.04.019zbMath1192.58013arXiv0812.0554OpenAlexW2963188261MaRDI QIDQ732050
Elmar Schrohe, Johannes Aastrup, Ryszard Nest
Publication date: 9 October 2009
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.0554
boundary value problemsBoutet de Monvel calculusindex theorytangent groupoidcontinuous fields of \(C^*\)-algebras
Index theory and related fixed-point theorems on manifolds (58J20) Quantizations, deformations for selfadjoint operator algebras (46L65)
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Cites Work
- Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted \(L^ p\)-Sobolev spaces
- Functional calculus of pseudodifferential boundary problems.
- The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics
- A continuous field of \(C^{*}\)-algebras and the tangent groupoid for manifolds with boundary
- Remarks on pseudo-differential operators
- Boundary problems for pseudo-differential operators
- A K-theoretic proof of Boutet de Monvel's index theorem for boundary value problems
- Fréchet Algebra Techniques for Boundary Value Problems on Noncompact Manifolds: Fredholm Criteria and Functional Calculus via Spectral Invariance
- C* -structure and K-theory of Boutet de Monvels algebra
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