Elliptic Operators on Smooth Manifolds and K-Theory

  • Glenys Luke
  • Alexander S. Mishchenko
Part of the Mathematics and Its Applications book series (MAIA, volume 447)


In this chapter we describe some of the most fruitful applications of vector bundles, namely, in elliptic operator theory. We study some of the geometrical constructions which appear naturally in the analysis of differential and pseudodifferential operators on smooth manifolds.


Differential Operator Vector Bundle Elliptic Operator Smooth Manifold Local Coordinate System 
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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Glenys Luke
    • 1
  • Alexander S. Mishchenko
    • 2
  1. 1.St. Hugh’s CollegeOxford UniversityOxfordUK
  2. 2.Department of MathematicsMoscow State UniversityMoscowRussia

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