There exist exponents of an operator stable measure which commute with every operator in the measure's symmetry group. These exponents together with a new norm lead to some simplifications in the representation of the Levy measure.
@article{1176992455,
author = {Hudson, William N. and Jurek, Zbigniew J. and Veeh, Jerry Alan},
title = {The Symmetry Group and Exponents of Operator Stable Probability Measures},
journal = {Ann. Probab.},
volume = {14},
number = {4},
year = {1986},
pages = { 1014-1023},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992455}
}
Hudson, William N.; Jurek, Zbigniew J.; Veeh, Jerry Alan. The Symmetry Group and Exponents of Operator Stable Probability Measures. Ann. Probab., Tome 14 (1986) no. 4, pp. 1014-1023. http://gdmltest.u-ga.fr/item/1176992455/