Publications
Liehr, L., Translation-based completeness on compact intervals, J. Approx. Theory 305 (2025). doi.org/10.1016/j.jat.2024.106104
Grohs, P., Liehr, L., Rathmair, M., Multi-window STFT phase retrieval: lattice uniqueness, J. Funct. Anal. 288, 3 (2025). doi.org/10.1016/j.jfa.2024.110733
Grohs, P., Liehr, L., Rathmair, M., Phase retrieval in Fock space and perturbation of Liouville sets, Rev. Mat. Iberoam., accepted (2024). arxiv.org/abs/2308.00385
Liehr, L., Arithmetic progressions and holomorphic phase retrieval, Bull. Lond. Math. Soc. 56, 11 (2024). doi.org/10.1112/blms.13134
Grohs, P., Liehr, L., Phaseless sampling on square-root lattices, Found. Comput. Math. (2024).
doi.org/10.1007/s10208-024-09640-3Grohs, P., Liehr, L., Stable Gabor phase retrieval in Gaussian shift-invariant spaces via biorthogonality, Constr. Approx. 59 (2024). doi.org/10.1007/s00365-023-09629-1
Grohs, P., Liehr, L., Non-uniqueness theory in sampled STFT phase retrieval, SIAM J. Math. Anal. 55, 5 (2023). doi.org/10.1137/22M1510224
Grohs, P., Liehr, L., Injectivity of Gabor phase retrieval from lattice measurements, Appl. Comput. Harmon. Anal. 62 (2023). doi.org/10.1016/j.acha.2022.09.001
Grohs, P., Liehr, L., On Foundational Discretization Barriers in STFT Phase Retrieval. J. Fourier Anal. Appl. 28, 39 (2022). doi.org/10.1007/s00041-022-09935-5
Grohs, P., Liehr, L., Shafkulovska, I., From completeness of discrete translates to phaseless sampling of the short-time Fourier transform, arXiv:2211.05687 (2022). arxiv.org/abs/2211.05687
Filbir, F., Liehr, L., Phase Distortion by Linear Signal Transforms, Front. Appl. Math. Stat. 6 (2020). doi.org/10.3389/fams.2020.556585
Liehr, L., Massopust, P., On the mathematical validity of the Higuchi method, Phys. D 402 (2020). doi.org/10.1016/j.physd.2019.132265
Talks
(upcoming) FIM Workshop on Phase Retrieval and Banach Lattices, ETH Zurich, May 5-9, 2025
Strobl24, Austria, June 9-15, 2024
ICMAT Research term Lattice Structures in Analysis and Applications, Madrid, Spain, May 6-10, 2024
Workshop on Fourier Analysis and its applications, Budapest, Hungary, January 29 - February 2, 2024
11th Applied Inverse Problems Conference, Göttingen, Germany, September 4-8, 2023
Oberseminar Optimization and Data Analysis, Technical University of Munich, Germany, 6 July 2023
Foundations of Computational Mathematics, Paris, France, June 12-21, 2023 (poster presentation)
Mini-courses in Mathematical Analysis, Padova, Italy, June 19-23, 2023
Workshop on Quantum Harmonic Analysis, Norwegian University of Science and Technology, Trondheim, Norway, June 5-9, 2023
International Conference on Approximation Theory and Beyond, Vanderbilt University, Nashville, Tennessee, USA, May 15-18, 2023
Harmonic Analysis Seminar, University of Vienna, Austria, October 17, 2022
8th International Conference on Computational Harmonic Analysis, Ingolstadt, Germany, September 12-16, 2022
Curves and Surfaces Conference, Arcachon, France, June 20-24, 2022
11th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Spain, June 10-6, 2022
Theses
Phaseless sampling of the short-time Fourier transform, Ph.D. Thesis, University of Vienna, 2024 (Supervisor: Philipp Grohs)
Reconstruction of signals from truncated phaseless measurements, M.Sc. Thesis, Technical University of Munich, 2020 (Supervisor: Felix Krahmer and Frank Filbir)
Derivation of the Hertz dipole through Maxwell's equations via Fourier analysis for distributions, B.Sc. Thesis, Technical University of Munich, 2017 (Supervisor: Gero Friesecke)
(Last update: 26 November 2024)