Representations of polynomial covariance type commutation relations by piecewise function multiplication and composition operators

Abstract

Representations of polynomial covariance type commutation relations are constructed on Banach spaces $L_p$ and $C[\alpha ,\beta ],\alpha ,\beta \in \mathbb{R}$. Representations involve operators with piecewise functions, multiplication operators and inner superposition operators.

arXiv admin note: text overlap with arXiv:2305.09776