Fourier transform of a Gaussian measure on the Heisenberg group

نویسنده

  • Mátyás Barczy
چکیده

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.

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تاریخ انتشار 2005