## Involve: A Journal of Mathematics

• Involve
• Volume 12, Number 5 (2019), 855-869.

### Spectra of Kohn Laplacians on spheres

#### Abstract

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 $ℂ2$.

#### Article information

Source
Involve, Volume 12, Number 5 (2019), 855-869.

Dates
Accepted: 26 December 2018
First available in Project Euclid: 29 May 2019

https://projecteuclid.org/euclid.involve/1559095409

Digital Object Identifier
doi:10.2140/involve.2019.12.855

Mathematical Reviews number (MathSciNet)
MR3954300

Zentralblatt MATH identifier
07072550

Subjects
Primary: 32V05: CR structures, CR operators, and generalizations
Secondary: 32V30: Embeddings of CR manifolds

#### Citation

Ahn, John; Bansil, Mohit; Brown, Garrett; Cardin, Emilee; Zeytuncu, Yunus E. Spectra of Kohn Laplacians on spheres. Involve 12 (2019), no. 5, 855--869. doi:10.2140/involve.2019.12.855. https://projecteuclid.org/euclid.involve/1559095409

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