#### Vol. 12, No. 5, 2019

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Spectra of Kohn Laplacians on spheres

### John Ahn, Mohit Bansil, Garrett Brown, Emilee Cardin and Yunus E. Zeytuncu

Vol. 12 (2019), No. 5, 855–869
##### Abstract

We study the spectrum of the Kohn Laplacian on the unit spheres in ${ℂ}^{n}$ 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 ${ℂ}^{2}$.

##### Keywords
Kohn Laplacian, spherical harmonics, Gershgorin's circle theorem
Primary: 32V05
Secondary: 32V30