The blowup along the diagonal of the spectral function of the Laplacian
We formulate a precise conjecture about the universal behavior near the diagonal of the spectral function of the Laplacian of a smooth compact Riemann manifold. We prove this conjecture when the manifold and the metric are real analytic.
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Published in | Bollettino della Unione matematica italiana (2008) Vol. 9; no. 3; pp. 411 - 420 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
01.09.2016
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | We formulate a precise conjecture about the universal behavior near the diagonal of the spectral function of the Laplacian of a smooth compact Riemann manifold. We prove this conjecture when the manifold and the metric are real analytic. |
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ISSN: | 1972-6724 2198-2759 |
DOI: | 10.1007/s40574-016-0055-3 |