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Abstract
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We study the spectrum of the Kohn Laplacian on the unit spheres in
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
.
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Keywords
Kohn Laplacian, spherical harmonics, Gershgorin's circle
theorem
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Mathematical Subject Classification 2010
Primary: 32V05
Secondary: 32V30
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Milestones
Received: 5 September 2018
Accepted: 26 December 2018
Published: 22 May 2019
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