A Tauberian approach to Weyl's law for the Kohn Laplacian on spheres

Henry Bosch, Tyler Gonzales,Kamryn Spinelli,Gabe Udell,Yunus E. Zeytuncu

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES（2022）

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摘要

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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关键词

Kohn Laplacian, Weyl's law, Karamata's Tauberian Theorem

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