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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
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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 . |
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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Authors |
| John Ahn | |
| Bowdoin College Brunswick, ME United States |
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| Mohit Bansil | |
| Michigan State University East Lansing, MI United States |
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| Garrett Brown | |
| Harvard University Cambridge, MA United States |
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| Emilee Cardin | |
| College of William and Mary Williamsburg, VA United States |
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| Yunus E. Zeytuncu | |
| Department of Mathematics and
Statistics University of Michigan-Dearborn Dearborn, MI United States |
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