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Sharp L^p-bounds for the wave equation on groups of Heisenberg type

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arxiv 1408.3051 v1 pith:O5CKCSBU submitted 2014-08-13 math.CA math.AP

Sharp L^p-bounds for the wave equation on groups of Heisenberg type

classification math.CA math.AP
keywords equationgroupsheisenbergsharptypewaveassociatedbounds
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Consider the wave equation associated with the Kohn Laplacian on groups of Heisenberg type. We construct parametrices using oscillatory integral representations and use them to prove sharp $L^p$ and Hardy space regularity results.

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