Complex symmetry in the Fock space of several variables
Functional Analysis
2023-12-11 v1
Abstract
In this paper we study the complex symmetry in the several variable Fock space by using the techniques of weighted composition operators and semigroups. We characterize unbounded weighted composition operators that are (real) complex symmetric with respect to a concrete conjugation. Using this characterization, we study complex symmetric semigroups and their generators. We realize such generators as first-order differential operators.
Keywords
Cite
@article{arxiv.2312.04895,
title = {Complex symmetry in the Fock space of several variables},
author = {Pham Viet Hai and Pham Trong Tien},
journal= {arXiv preprint arXiv:2312.04895},
year = {2023}
}