Filtered random variables, bialgebras, and convolutions
R Lenczewski - Journal of Mathematical Physics, 2001 - pubs.aip.org
We introduce the filtered*-bialgebra which is a multivariate generalization of the unital*-
bialgebra C< X, X′, P> of polynomials in noncommuting variables X= X*, X′*= X′ and a …
bialgebra C< X, X′, P> of polynomials in noncommuting variables X= X*, X′*= X′ and a …
Noncommutative extensions of the Fourier transform and its logarithm
R Lenczewski - arXiv preprint math/0112019, 2001 - arxiv.org
We introduce and study noncommutative extensions of the Fourier transform and its
logarithm to the algebra of functions on the free semigroup FS (2) on two generators with the …
logarithm to the algebra of functions on the free semigroup FS (2) on two generators with the …