The cone algebra

  • Xiaochun Liu
  • Bert-Wolfgang Schulze
Part of the Operator Theory: Advances and Applications book series (OT, volume 265)


A manifold with smooth boundary can be regarded as a manifold with edge, and boundary value problems can be interpreted as specific edge problems. In the edge case the inner normal turns into the axial variable of a cone transverse to the edge, and the boundary symbol calculus is now replaced by a calculus on the respective cone. In order to treat edge problems with global projection conditions, we first outline the calculus of operators on a manifold with conical singularities.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Xiaochun Liu
    • 1
  • Bert-Wolfgang Schulze
    • 2
  1. 1.School of Mathematics and StatisticsWuhan UniversityWuhanChina
  2. 2.Institut für MathematikUniversität PotsdamPotsdamGermany

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