A Tauberian Approach to Weyl's Law for the Kohn Laplacian on Spheres

2020/10/09 by Bosch, Henry, Gonzales, Tyler, Spinelli, Kamryn +2 · 1 citation
#32V05 #32V20 #Complex Variables (math.CV) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2010.04568

Abstract

We compute the leading coefficient in the asymptotic expansion of the eigenvalue counting function for the Kohn Laplacian on the spheres. We express the coefficient as an infinite sum and as an integral.

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• Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients

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