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arxiv: 1302.0807 · v1 · pith:AWBNFOABnew · submitted 2013-02-04 · 🧮 math.CV · math.AP· math.DG

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

classification 🧮 math.CV math.APmath.DG
keywords ballheisenbergkohnlaplacianneumannnon-compactnessoperatoracting
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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 $L^2$ $(0,q)$-forms on the unit ball in $(2n+1)$-dimensional Heisenberg space.

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