The moments of certain complex potentials
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- by Howard D. Fegan and Peter B. Gilkey
- Proc. Amer. Math. Soc. 96 (1986), 525-527
- DOI: https://doi.org/10.1090/S0002-9939-1986-0822453-X
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Abstract:
Let $M$ be a compact homogeneous space, let $\Delta$ be the Laplacian, and let $V$ be the vector space of Fegan potentials. If $q \in V$, then $\Delta$ and $\Delta + q$ have the same spectrum. We show that all the moments of such a potential must vanish.References
- Peter B. Gilkey, Recursion relations and the asymptotic behavior of the eigenvalues of the Laplacian, Compositio Math. 38 (1979), no. 2, 201–240. MR 528840
- V. Guillemin and A. Uribe, Spectral properties of a certain class of complex potentials, Trans. Amer. Math. Soc. 279 (1983), no. 2, 759–771. MR 709582, DOI 10.1090/S0002-9947-1983-0709582-8
Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 525-527
- MSC: Primary 58G25; Secondary 58G11
- DOI: https://doi.org/10.1090/S0002-9939-1986-0822453-X
- MathSciNet review: 822453