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

Published 4 Feb 2013 in math.CV, math.AP, and math.DG | (1302.0807v1)

Abstract: For $1\leq q \leq n-2$, 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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