Spectra of Kohn Laplacians on Spheres

2018/12/05 by Ahn, John, Bansil, Mohit, Brown, Garrett +2 · 1 citation
#32V05 #Complex Variables (math.CV) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1812.02114

Abstract

In this note, we study the spectrum of the Kohn Laplacian on the unit spheres in ℂⁿ and revisit Folland's classical eigenvalue computation. We also look at the growth rate of the eigenvalue counting function in this context. Finally, we consider the growth rate of the eigenvalues of the perturbed Kohn Laplacian on the Rossi sphere in ℂ².

Cited by

• Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients

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