English

Wave equation and multiplier estimates on ax+b groups

Classical Analysis and ODEs 2007-05-23 v1 Analysis of PDEs

Abstract

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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Cite

@article{arxiv.math/0403476,
  title  = {Wave equation and multiplier estimates on ax+b groups},
  author = {Detlef Mueller and Christoph Thiele},
  journal= {arXiv preprint arXiv:math/0403476},
  year   = {2007}
}

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31 pages