Matyas Barczy, Gyula Pap
Published 2005-11-01, updated 2006-10-15Version 2
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.
Comments: 38 pages, completed version
Journal: Annales de l'Institut Henri Poincare (B) Probability and Statistics, Vol. 42, Issue 5, 2006, 607-633
On the Bellman function of Nazarov, Treil and Volberg
Projections of Poisson cut-outs in the Heisenberg group and the visual $3$-sphere
Conformal transforms and Doob's h-processes on Heisenberg groups
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