# The Heat Expansion for Systems of Integral Equations

Chapter

## Abstract

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.

## Keywords

Pseudodifferential Operator Pseudo Differential Operator Numerical Range Positive Order Symbol Class
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## References

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## Copyright information

© Birkhäuser Verlag Basel 1988