2 citations · 2 across the 1 of their papers we have counts for
4 papers
KMS States on the Square of White Noise Algebra
L. Accardi, G. G. Amosov, U. Franz
It was shown in [AFS00] that there are only three types of irreducible unitary representations theta of sl_2. Using the Schurmann triple one can associate with each theta a number…
Free Lévy Processes on Dual Groups
Uwe Franz
We give a short introduction to the theory of Lévy processes on dual groups. As examples we consider Lévy processes with additive increments and Lévy processes on the dual affine g…
Malliavin Calculus and Skorohod Integration for Quantum Stochastic Processes
Uwe Franz, Remi Leandre, Rene Schott
A derivation operator and a divergence operator are defined on the algebra of bounded operators on the symmetric Fock space over the complexification of a real Hilbert space $\eufr…
Lévy Processes on as Infinitely Divisible Representations
V. K. Dobrev, H. -D. Doebner, U. Franz +1
Lévy processes on bialgebras are families of infinitely divisible representations. We classify the generators of Lévy processes on the compact forms of the quantum algebras $U_q(g)…