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Annals of Global Analysis and Geometry

, Volume 15, Issue 1, pp 71–100 | Cite as

Index Formulae for Pseudodifferential Operators with Discontinuous Symbols

  • Grigori V. Rozenblum
Article

Abstract

A class of zero order pseudodifferential operators on a closed manifold is considered, with symbols admitting a first kind discontinuity at a codimension one submanifold. A condition is found for such operators to be Fredholm. The formula for the index of such operators is derived, expressed in the topological terms.

C−-algebras index K-theory pseudodifferential operators 

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Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Grigori V. Rozenblum
    • 1
  1. 1.Department of MathematicsGöteborg UniversityGöteborgSweden

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