Spectral projections for the twisted Laplacian

Details Spectral projections for the twisted Laplacian Spectral projections for the twisted Laplacian

2004-12-13

arxiv.org/abs/math/0412236v1

Mathematics

Analysis of PDEs

9 pages

Scientific paper

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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