3 papers
math.OA2004
A note on noncommutative holomorphic and harmonic functions on the unit disk
Slawomir Klimek
We study noncommutative versions of holomorphic and harmonic functions on the unit disk.
math-ph2003
Ergodic properties of the quantum geodesic flow on tori
Slawomir Klimek, Witold Kondracki
We study ergodic averages for a class of pseudodifferential operators on the flat N-dimensional torus with respect to the Schrödinger evolution. The later can be consider a quantiz…
math.OA2003
Quantum Dynamical Systems with Quasi--Discrete Spectrum
Slawomir Klimek
We study totally ergodic quantum dynamical systems with quasi--discrete spectrum. We investigate the classification problem for such systems in terms of algebraic invariants. The r…