Ahn, John; Bansil, Mohit; Brown, Garrett; Cardin, Emilee; Zeytuncu, Yunus E. Spectra of Kohn Laplacians on spheres. (English) Zbl 1425.32030 Involve 12, No. 5, 855-869 (2019). Summary: We study the spectrum of the Kohn Laplacian on the unit spheres in \(\mathbb{C}^n\) 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 \(\mathbb{C}^2\). Cited in 3 Documents MSC: 32V05 CR structures, CR operators, and generalizations 32V30 Embeddings of CR manifolds Keywords:Kohn Laplacian; spherical harmonics; Gershgorin’s circle theorem PDF BibTeX XML Cite \textit{J. Ahn} et al., Involve 12, No. 5, 855--869 (2019; Zbl 1425.32030) Full Text: DOI arXiv OpenURL References: [1] 10.2140/involve.2019.12.125 · Zbl 1396.32018 [2] 10.1007/978-1-4757-5579-4 [3] 10.1007/b97238 · Zbl 0959.31001 [4] 10.1201/9781315140445 [5] ; Boutet de Monvel, Séminaire Goulaouic-Lions-Schwartz 1974-1975 (1975) [6] ; Burns, Partial differential equations and geometry. Lecture Notes in Pure and Appl. Math., 48, 51 (1979) [7] ; Chen, Partial differential equations in several complex variables. AMS/IP Studies in Adv. Math., 19 (2001) · Zbl 0963.32001 [8] 10.2307/1996376 · Zbl 0249.35013 [9] 10.1007/s00208-004-0591-5 · Zbl 1070.32023 [10] 10.1016/j.aim.2008.05.003 · Zbl 1156.32023 [11] ; Gershgorin, Izv. Akad. Nauk SSSR, 1931, 749 (1931) [12] 10.1215/S0012-7094-81-04843-2 · Zbl 0489.35064 [13] 10.1007/978-3-642-48016-4_21 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.