Pseudodifferential operators with discontinuous symbols: \(K\)-theory and the index formula

DOI10.1007/BF01077066zbMath0879.58073OpenAlexW1976765258MaRDI QIDQ1320675

G. V. Rozenblyum, Boris A. Plamenevsky

Publication date: 18 May 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077066

zbMATH Keywords

\(K\)-theorypseudodifferential operatorsindex formuladiscontinuous symbols

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) (K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Index theory (19K56) Pseudodifferential operators (47G30)

Cites Work

• Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
• Resonance regions for Mathieu type dynamical systems on a torus
• Remarks on the perturbation theory for problems of Mathieu type
• Resonance regions for families of torus maps

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