Wave equation and multiplier estimates on ax+b groups

Details Wave equation and multiplier estimates on ax+b groups Wave equation and multiplier estimates on ax+b groups

2004-03-26

arxiv.org/abs/math/0403476v1

Mathematics

Classical Analysis and ODEs

31 pages

Scientific paper

Let L be the distinguished Laplacian on certain semidirect products of R by
R^n which are of ax+b type. We prove pointwise estimates for the convolution
kernels of spectrally localized wave operators for arbitrary time and scaling
parameter.

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