On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem

DOI10.2478/s11533-011-0045-8zbMath1241.58012OpenAlexW2046094059WikidataQ115227861 ScholiaQ115227861MaRDI QIDQ657375

B. Yu. Sternin

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0045-8

zbMATH Keywords

Lie groupstransversal ellipticityfiniteness theorem\(G\)-pseudodifferential operatorspseudodifferential uniformization

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (8)

Local index theory for operators associated with Lie groupoid actions ⋮ On traces of operators associated with actions of compact Lie groups ⋮ On semiclassical asymptotics for nonlocal equations ⋮ Uniformization of nonlocal elliptic operators and \(KK\)-theory ⋮ Index of nonlocal problems associated with a bundle ⋮ On the index of nonlocal elliptic operators for compact Lie groups ⋮ Uniformization of nonlocal elliptic operators and \(KK\)-theory ⋮ Elliptic operators associated with groups of quantized canonical transformations

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• Boundary value problems on manifolds with fibered boundary
• Orthogonal decompositions of direct sums and tensor products of algebras

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