Fourier transform of a Gaussian measure on the Heisenberg group
Probability
2015-06-26 v2
Abstract
An explicit formula is derived for the Fourier transform of a Gaussian measure on the Heisenberg group at the Schrodinger representation. Using this explicit formula, necessary and sufficient conditions are given for the convolution of two Gaussian measures to be a Gaussian measure.
Cite
@article{arxiv.math/0511016,
title = {Fourier transform of a Gaussian measure on the Heisenberg group},
author = {Matyas Barczy and Gyula Pap},
journal= {arXiv preprint arXiv:math/0511016},
year = {2015}
}
Comments
38 pages, completed version