Weighted composition operators on the Fock space: iteration and semigroups
Functional Analysis
2022-06-02 v3
Abstract
This paper considers discrete and continuous semigroups of (weighted) composition operators on the Fock space. For discrete semigroups consisting of powers of a single operator, the asymptotic behaviour of the semigroups is analysed. For continuous semigroups and groups, a full classification of possible semigroups is given, and the generator is calculated.
Cite
@article{arxiv.2106.00427,
title = {Weighted composition operators on the Fock space: iteration and semigroups},
author = {I. Chalendar and J. R. Partington},
journal= {arXiv preprint arXiv:2106.00427},
year = {2022}
}
Comments
21 pages, revised version with many minor improvements