Non-compactness of the Neumann operator for the Kohn Laplacian on the Heisenberg ball

2013/02/04 by Robert K. Hladky, Hladky, Robert K.
Computer Science · Mathematics · #32V20 #32W10 #35H20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1302.0807

openalex publication_date 2013/02/04 · openalex created_date 2016/10/28 · openalex updated_date 2026/07/28

Abstract

For 1≤ q ≤ n-2, we provide explicit examples to demonstrate non-compactness of the Neumann operator for the Kohn Laplacian acting on L² (0,q)-forms on the unit ball in (2n+1)-dimensional Heisenberg space.

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