Index of elliptic boundary value problems associated with isometric group actions

DOI10.1134/S1061920820030048zbMath1502.58004OpenAlexW3083737960MaRDI QIDQ2198325

A. V. Boltachev, A. Yu. Savin

Publication date: 10 September 2020

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920820030048

zbMATH Keywords

index theoremshift operatorselliptic elementsBoutet de Monvel algebraalgebra of nonlocal operatorspseudodifferential boundary value problem

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) PDEs on manifolds (35R01)

Cites Work

• Index of elliptic operators for diffeomorphisms of manifolds
• Functional calculus of pseudo-differential boundary problems
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Elliptic theory and noncommutative geometry. Nonlocal elliptic operators
• The index of elliptic operators. I
• Boundary problems for pseudo-differential operators
• SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS
• A K-theoretic proof of Boutet de Monvel's index theorem for boundary value problems
• ELLIPTIC PSEUDODIFFERENTIAL OPERATORS WITH A FINITE GROUP OF SHIFTS
• Uniformization of nonlocal elliptic operators and \(KK\)-theory
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