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Spectral projections for the twisted Laplacian

Herbert Koch·Fulvio Ricci
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Abstract

The twisted Laplacian in the d=2n dimensional Euclidean space has the spectrum n+2k, k a nonnegative integer. We find sharp asymptotic bounds of the norm of the projection to the eigenspace considered as map from L2 to Lp, for all p>2.

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Herbert Koch, Fulvio Ricci. 2004-12-13. Spectral projections for the twisted Laplacian. https://arxiv.org/abs/math/0412236

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