On the index of nonlocal elliptic operators corresponding to a nonisometric diffeomorphism

DOI10.1134/S0001434611110083zbMath1291.58013OpenAlexW2004764802MaRDI QIDQ2435862

A. Yu. Savin

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611110083

zbMATH Keywords

diffeomorphismRiemannian manifoldFredholm propertyde Rham cohomologyboundary-value problemnonlocal elliptic operatorindex of an elliptic operatoroperators with shiftstangential Euler operator

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) (Semi-) Fredholm operators; index theories (47A53) Boundary value problems on manifolds (58J32) Pseudodifferential operators (47G30)

Related Items (2)

Elliptic functional differential equations with contractions and extensions of independent variables of the unknown function ⋮ Sobolev problems with spherical mean conditions and traces of quantized canonical transformations

Cites Work

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• On the index of nonlocal elliptic operators for the group of dilations
• Elliptic theory and noncommutative geometry. Nonlocal elliptic operators
• On the index of elliptic operators for the group of dilations
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. III
• Elliptic operators in even subspaces
• Defect of index in the theory of non-local problems and the $ \eta$-invariant

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