arXiv subjects

Z. Suchanecki

Publications and source records attributed to Z. Suchanecki.

2 recordsLinked to original sources

arXiv2009

Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of $L^2({\mathbb R})$

Spectral representations of the dilation and translation operators on $L^2({\mathbb R})$ are built through appropriate bases. Orthonormal wavelets and multiresolution analysis are then described in terms of rigid operator-valued functions defined on the functional spectral spaces. The approach is useful for computational purposes.

math.FA↗

arXiv2004

Implementability of Liouville evolution, Koopman and Banach-Lamperti theorems in Classical and Quantum dynamics

We extend the concept of implementability of semigroups of evolution operators associated with dynamical systems to quantum case. We show that such an extension can be properly formulated in terms of Jordan morphisms and isometries on non-commutative $L^p$ spaces. We focus our attention on a non-commutative analog of the Banach-Lamperti theorem.

math-ph↗