Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Determinant of the Neumann operator on smooth Jordan curves
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by Julian Edward and Siye Wu
Proc. Amer. Math. Soc. 111 (1991), 357-363
DOI: https://doi.org/10.1090/S0002-9939-1991-1031662-0

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.
References
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Bibliographic Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 357-363
  • MSC: Primary 58G11; Secondary 35S99, 58G15, 58G20
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1031662-0
  • MathSciNet review: 1031662