TY - JOUR
AU1 - Pap, Gyula
AB - An explicit form is derived for the Fourier transform of symmetric Gauss measures on the Heisenberg group at the Schrödinger representation. Using this explicit formula, necessary and sufficient conditions are given for the convolution of two symmetric Gauss measures to be a symmetric Gauss measure and for commutability of two symmetric Gauss measures. Moreover, necessary and sufficient conditions are presented for the convolution of two symmetric Gauss convolution semigroups to be a convolution semigroup.
TI - Fourier transform of symmetric gauss measures on the Heisenberg group
JF - Semigroup Forum
DO - 10.1007/s002330010087
DA - 2001-08-17
UR - https://www.deepdyve.com/lp/springer-journals/fourier-transform-of-symmetric-gauss-measures-on-the-heisenberg-group-cKAgD89M9O
SP - 130
EP - 158
VL - 64
IS - 1
DP - DeepDyve
ER -