Determinant of the Neumann operator on smooth Jordan curves

Edward, Julian; Wu, Siye

doi:10.1090/S0002-9939-1991-1031662-0

Determinant of the Neumann operator on smooth Jordan curves
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by Julian Edward and Siye Wu PDF

Proc. Amer. Math. Soc. 111 (1991), 357-363 Request permission

Abstract:

Using the method of heat kernel expansion, the determinant of the Neumann operator on an arbitrary smooth Jordan curve is shown to be equal to the circumference.

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