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Commuting Toeplitz operators with harmonic symbols on the Fock space
Abstract
We give a counterexample to a characterization of commuting Toeplitz operators due to Bauer, Choe, and Koo [JFA, 268 (2015), 3017--3060]. We prove a corrected characterization for Toeplitz operators with harmonic symbols of exponential type on the Fock space in one complex variable.
Related
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BibTeX
@misc{qin2026commuting,
title = {{Commuting Toeplitz operators with harmonic symbols on the Fock space}},
author = {Jie Qin and Youqi Liu and Sui Huang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22136},
eprint = {2610.22136},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22136},
}
RIS
TY - UNPB
TI - Commuting Toeplitz operators with harmonic symbols on the Fock space
AU - Jie Qin
AU - Youqi Liu
AU - Sui Huang
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22136
UR - https://arxiv.org/abs/2610.22136
AB - We give a counterexample to a characterization of commuting Toeplitz operators due to Bauer, Choe, and Koo [JFA, 268 (2015), 3017--3060]. We prove a corrected characterization for Toeplitz operators with harmonic symbols of exponential type on the Fock space in one complex variable.
ER -