English

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

Functional Analysis 2023-05-19 v1

Abstract

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

Keywords

Cite

@article{arxiv.2305.10454,
  title  = {Representations of polynomial covariance type commutation relations by piecewise function multiplication and composition operators},
  author = {Domingos Djinja and Sergei Silvestrov and Alex Behakanira Tumwesigye},
  journal= {arXiv preprint arXiv:2305.10454},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2305.09776

R2 v1 2026-06-28T10:37:28.352Z