The Heat Expansion for Systems of Integral Equations

  • Harold Widom
Part of the Operator Theory: Advances and Applications book series (OT, volume 35)


In this paper we derive an analogue for integral operators of the well-known heat expansion for the Laplacian or other operators of positive order. Previous work established a partial expansion of n + 1 terms for a single integral operator in n dimensions. This is here extended to systems of operators.


Pseudodifferential Operator Pseudo Differential Operator Numerical Range Positive Order Symbol Class 
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Copyright information

© Birkhäuser Verlag Basel 1988

Authors and Affiliations

  • Harold Widom
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaSanta CruzUSA

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