Research

1. 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.

2. 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.

3. 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.

4. 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.

5. 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.

6. 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.

7. 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

1. Giacchi, G. Metaplectic Wigner Distributions. Accepted, arXiv:2304.14689.

2. Cordero, E., Giacchi, G. Metaplectic Gabor frames of Wigner-Decomposable Distributions. Accepted, arXiv:2304.14689.

1. Cordero E., Giacchi G. & Rodino L. A Unified Approach to Time-Frequency Representations and Generalized Spectrogram. Submitted, arXiv:2401.03882

2. Cordero, E., Giacchi, G. & Rodino, L. Wigner Representation of  Schrödinger Propagators. Submitted, arXiv:2311.18383v2

3. Cordero, E., Giacchi, G. & Rodino, Wigner kernels and Gabor matrix of operators. Submitted, arxiv:2404.08332

4. Giacchi, G. Boundedness of metaplectic operators on Lp spaces, applications to pseudodifferential calculus, and time-frequency representations. arxiv:2405.09378

5. Cordero, E., Giacchi, G., & Pucci, E. (2024). Understanding of linear operators through Wigner analysis. arxiv:2405.16448

6. 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. https://arxiv.org/abs/2406.19239v1

(In preparation) Cordero, E., Giacchi G. & Rodino L. Time-Frequency Analysis of Operators: 2nd Edition. De Gruyter.