Barczy, Mátyás; Pap, Gyula Fourier transform of a Gaussian measure on the Heisenberg group. (English) Zbl 1102.60003 Ann. Inst. Henri Poincaré, Probab. Stat. 42, No. 5, 607-633 (2006). Summary: An explicit formula is derived for the Fourier transform of a Gaussian measure on the Heisenberg group at the Schrödinger representation. Using this explicit formula, necessary and sufficient conditions are given for the convolution of two Gaussian measures to be a Gaussian measure. Cited in 1 Document MSC: 60B15 Probability measures on groups or semigroups, Fourier transforms, factorization PDF BibTeX XML Cite \textit{M. Barczy} and \textit{G. Pap}, Ann. Inst. Henri Poincaré, Probab. Stat. 42, No. 5, 607--633 (2006; Zbl 1102.60003) Full Text: DOI arXiv Numdam Numdam EuDML OpenURL