Research Interests

Harmonic Analysis

Publications

Preprints Weiqi Zhou: Principal non-singularity of Fourier matrices on \(\mathbb Z_{p}\times\mathbb Z_{q}\) and \(\mathbb Z_{2}^k\times\mathbb Z_{q}\). arXiv: 2505.01189 Weiqi Zhou: On tiling and spectral sets in \(\mathbb Z_{p^2}\times\mathbb Z_{p^2}\). arXiv: 2412.18132 Weiqi Zhou: Mutual annihilation of tiles. arXiv: 2412.16865 Published Weiqi Zhou: A Fuglede type conjecture for discrete Gabor bases. Banach Journal of Mathematical Analysis, 18(51), 2024. DOI: 10.1007/s43037-024-00361-x Weiqi Zhou: Universal spectra in \(G\times\mathbb Z_p\). Journal of Fourier Analysis and Applications, 30(17), 2024. DOI: 10.1007/s00041-024-10074-2 Weiqi Zhou: On rationality of spectrums for spectral sets in \(\mathbb R\). Journal of Functional Analysis, 286(10), 110402, 2024. DOI: 10.1016/j.jfa.2024.110402 Weiqi Zhou: Quasi-periodicity of \(\mathbb Z_{p^an_0}\). Acta Mathematica Hungarica, 170, 645-654, 2023. DOI: 10.1007/s10474-023-01361-3 Weiqi Zhou: On functional reproducing kernels. Open Mathematics, 21(1), 2023. DOI: 10.1515/math-2023-0102 Weiqi Zhou: Properties and applications of a conjugate transform on Schatten classes. Journal of Inequalities and Applications, 126, 2022. DOI: 10.1186/s13660-022-02863-4 Weiqi Zhou: A universal identifier for communication channels. Journal of Pseudo-Differential Operators and Applications, 13(4), 2022. DOI: 10.1007/s11868-021-00436-5 Weiqi Zhou: On the construction of discrete orthonormal Gabor bases on finite dimensional spaces. Applied and Computational Harmonic Analysis, 55, 270-281, 2021. DOI: 10.1016/j.acha.2021.06.001 D.Lee, G.Pfander, V.Pohl, Weiqi Zhou: Identification of channels with single and multiple inputs and outputs under linear constraints. Linear Algebra and its Applications, 581, 435-470, 2019. DOI: 10.1016/j.laa.2019.07.025 P.Oswald, Weiqi Zhou: Random reordering in SOR-type methods. Numerische Mathematik, 135, 1207-1220, 2017. DOI: 10.1007/s00211-016-0829-7 G.Pfander, Weiqi Zhou: Irregular orthonormal Gabor basis in finite dimensions and applications. Proceedings of SampTA, 2017. DOI: 10.1109/SAMPTA.2017.8024467 Weiqi Zhou: Triangular truncation and its extremal matrices. Numerical Linear Algebra With Applications, 23(4), 642-655, 2016. DOI: 10.1002/nla.2045 P.Oswald, Weiqi Zhou: Convergence analysis for Kaczmarz-type methods in a Hilbert space framework. Linear Algebra and its Applications, 478, 131-161, 2015. DOI: 10.1016/j.laa.2015.03.028

Fundings

2025.09-2026.08, 江苏省高级访问学者, 江苏省教育厅 2021.10-2024.09, 江苏省高等学校基础科学(自然科学)面上项目, 江苏省教育厅, 已结题

Educations

2015.09-2020.02, Justus-Liebig University Giessen (Giessen, Germany), Dr.rer.nat (PhD) Dissertation: Identification of Bandlimited Pseudo-Differential Operators Advisor: Prof. Dr. Oleg Davydov， Prof. Dr. Goetz Pfander (Also stayed at and affliated to Jacobs Univeristy, Philips University Marburg, Catholic University of Eichstaett-Ingolstadt under the supervision of the second advisor) 2013.09-2015.08, Jacobs University Bremen (Bremen, Germany), MSc. Mathematics Thesis: The Conjugate Transform of the Triangular Truncation Operator on Hermitian Matrices Advisor: Prof. Dr. Peter Oswald 2003.09-2007.06, Fudan University (Shanghai, China), BSc. Economics