Cordero, E., Giacchi, G. Quasi-Banach Algebras and Wiener Properties for Pseudodifferential and Generalized Metaplectic Operators. J. Pseudo-Differ. Oper. Appl. 14, 9 (2023). https://doi.org/10.1007/s11868-022-00503-5.
Cordero, E., Giacchi, G. Symplectic Analysis of Time-Frequency Spaces. J. Math. Pures Appl. 177, 154-177 (2023). https://doi.org/10.1016/j.matpur.2023.06.011.
Cordero, E., Giacchi, G. Metaplectic Gabor Frames and Symplectic Analysis of Time-Frequency Spaces. Appl.Comput. Harmon. Anal. 68, 101594 (2024). https://doi.org/10.1016/j.acha.2023.101594.
Giacchi, G., Milani, B. & Franceschiello, B. On the Determination of Lagrange Multipliers for a Weighted LASSO Problem Using Geometric and Convex Analysis Techniques. Appl. Math. Optim. 89, 31 (2024). https://doi.org/10.1007/s00245-023-10096-0.
Cordero, E., Giacchi, G. Excursus on modulation spaces via metaplectic operators and related time-frequency representations. Sampl. Theory Signal Process. Data Anal. 22, 9 (2024). https://doi.org/10.1007/s43670-024-00085-x.
Cordero, E., Giacchi, G., Rodino, L. & Valenzano, M. Wigner Analysis of Fourier Integral Operators with symbols in the Shubin classes. Nonlinear Differ. Equ. Appl. 31, 69 (2024). https://doi.org/10.1007/s00030-024-00961-4.
Cordero E., Giacchi G. & Rodino L. Wigner Analysis of Operators. Part II: Schrödinger equations. Commun. Math. Phys. 405, 156 (2024).
https://doi.org/10.1007/s00220-024-04992-x.
Cordero, E., Giacchi, G., & Pucci, E. Understanding of linear operators through Wigner analysis. J. Math. Anal. Appl. 543 (2025) 128955. https://doi.org/10.1016/j.jmaa.2024.128955.
Giacchi, G. Boundedness of metaplectic operators on Lp spaces, applications to pseudodifferential calculus, and time-frequency representations. J. Fourier Anal. Appl. 30, 69 (2024). https://doi.org/10.1007/s00041-024-10129-4.
[Book chapter] Cordero, E., Giacchi., G. Time-Frequency Analysis and Metaplectic Operators. In: Chatzakou, M., Ruzhansky, M., Stoeva, D. (eds) Women in Analysis and PDE. GFOW APDEGS 2022 2021. Trends in Mathematics(), vol 5. Birkhäuser, Cham. (2024). https://doi.org/10.1007/978-3-031-57005-6_13.
[Book chapter] Cordero, E., Giacchi, G. Metaplectic Gabor Frames of Wigner-Decomposable Distributions. In: Sergeyev, Y.D., Kvasov, D.E., Astorino, A. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2023. Lecture Notes in Computer Science, vol 14477. Springer, Cham. (2025). https://doi.org/10.1007/978-3-031-81244-6_5.
Cordero E., Giacchi G. & Rodino L. A Unified Approach to Time-Frequency Representations and Generalized Spectrogram. J. Fourier Anal. Appl. 31, 9 (2025). https://doi.org/10.1007/s00041-024-10142-7.
Cordero, E., Giacchi, G., & Malinnikova, E. Hardy's Uncertainty principle for Schrödinger equations with quadratic Hamiltonians. J. London Math. Soc. 111: e70134 (2025). https://doi.org/10.1112/jlms.70134.
Cordero, E., Giacchi, G. & Rodino, Wigner kernels and Gabor matrix of operators. Monatsh. Math. (2025). https://doi.org/10.1007/s00605-025-02070-5.
G. Giacchi. Metaplectic Wigner distributions. In: New Trends in Complex and Fourier Analysis, and Operator Theory, Tabacco, A., Peloso M., Arcozzi N. Springer Nature Singapore Pte Ltd. Accepted.
Giacchi, G., & Rodino, L. Metaplectic operators with quasi-diagonal kernels. Math. Nachr. Accepted.
[Book chapter] Giacchi G., Metaplectic Time-Frequency Representations. In: Analysis and PDE in Developing Countries Proceedings of the ISAAC-ICMAM Conference, 2024 (dedicated to the mathematical life of Luigi Rodino). Accepted.
Cordero, E., Giacchi, G. & Rodino, L. Wigner Representation of Schrödinger Propagators. Submitted, arXiv:2311.18383v2
Giacchi, G., Iakovidis, I., Milani, B., Stuber, M., Murray, M. & Franceschiello, B. ALMA: a mathematics-driven approach for determining tuning parameters in generalized LASSO problems, with applications to MRI. Submitted. arXiv:2406.19239v1
Cordero, E., Giacchi, G., & Rodino, L. Wigner analysis of operators. Part III: Controlling ghost frequencies. Submitted. arXiv:2412.01960
Avesani, S., Giacchi, G., & Multerer, M. Multiresolution local smoothness detection in non-uniformly sampled multivariate signals. Submitted. arXiv:2507.13480.
Elefante, G., Giacchi, G., Multerer, M., & Quizi, J. Bespoke multiresolution analysis of graph signals. Submitted. arXiv:2507.19181.
Cordero, E., Giacchi, G., Pucci, E., & Trapasso S. I. Sparse Gabor representations of metaplectic operators: controlled exponential decay and Schrödinger confinement. Submitted. arXiv:2508.02226.