Refinements to the Kuznetsov Formula for Laplace-Beltrami Operators

2026/07/15 by Merrick Chang
#math.AP

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Abstract

Wyman and Xi (2023) proved a Kuznetsov-type theorem for the submanifold counting function associated with Laplace--Beltrami eigenvalues. We refine the results of Wyman and Xi, improving their asymptotic: we remove a constant in the codimension-one case, and we prove a new asymptotic in the case that the set of looping times has measure zero.

Citations

• The spectral function of an elliptic operator

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