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The Heat Expansion for Systems of Integral Equations

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Contributions to Operator Theory and its Applications

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

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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.

Research sponsored in part by NSF Grant DMS-8601605.

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References

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© 1988 Birkhäuser Verlag Basel

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Widom, H. (1988). The Heat Expansion for Systems of Integral Equations. In: Gohberg, I., Helton, J.W., Rodman, L. (eds) Contributions to Operator Theory and its Applications. Operator Theory: Advances and Applications, vol 35. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9284-1_19

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  • DOI: https://doi.org/10.1007/978-3-0348-9284-1_19

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9978-9

  • Online ISBN: 978-3-0348-9284-1

  • eBook Packages: Springer Book Archive

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