Affiliation:
University of Vienna
Faculty of Mathematics
Oskar-Morgenstern-Platz 1
1090 Vienna
Publications
Liehr, L., Arithmetic progressions and holomorphic phase retrieval, arXiv:2308.05722 (2023). https://arxiv.org/abs/2308.05722
Grohs, P., Liehr, L., Rathmair, M., Phase retrieval in Fock space and perturbation of Liouville sets, arXiv:2308.00385 (2023). https://arxiv.org/abs/2308.00385
Grohs, P., Liehr, L., Shafkulovska, I., From completeness of discrete translates to phaseless sampling of the short-time Fourier transform, arXiv:2211.05687 (2022). https://arxiv.org/abs/2211.05687
Grohs, P., Liehr, L., Phaseless sampling on square-root lattices, Found. Comput. Math. To Appear. (2023). https://arxiv.org/abs/2209.11127
Grohs, P., Liehr, L., Rathmair, M., Multi-window STFT phase retrieval: lattice uniqueness, arXiv:2207.10620 (2022). https://arxiv.org/abs/2207.10620
Grohs, P., Liehr, L., Non-uniqueness theory in sampled STFT phase retrieval, SIAM J. Math. Anal. 55, 5 (2023). https://doi.org/10.1137/22M1510224
Grohs, P., Liehr, L., On Foundational Discretization Barriers in STFT Phase Retrieval. J. Fourier Anal. Appl. 28, 39 (2022). https://doi.org/10.1007/s00041-022-09935-5
Grohs, P., Liehr, L., Stable Gabor phase retrieval in Gaussian shift-invariant spaces via biorthogonality, Constr. Approx. (2023). https://doi.org/10.1007/s00365-023-09629-1
Grohs, P., Liehr, L., Injectivity of Gabor phase retrieval from lattice measurements, Appl. Comput. Harmon. Anal. 62 (2023). https://doi.org/10.1016/j.acha.2022.09.001
Filbir, F., Liehr, L., Phase Distortion by Linear Signal Transforms, Front. Appl. Math. Stat. 6 (2020). https://doi.org/10.3389/fams.2020.556585
Liehr, L., Massopust, P., On the mathematical validity of the Higuchi method, Phys. D 402 (2020). https://doi.org/10.1016/j.physd.2019.132265
News
11 August 2023 - My paper on Arithmetic progressions and holomorphic phase retrieval just appeared on arXiv.
2 August 2023 - New preprint out: Phase retrieval in Fock space and perturbation of Liouville sets. This is joint work with Philipp Grohs and Martin Rathmair.
11 November 2022 - New preprint out: From completeness of discrete translates to phaseless sampling of the short-time Fourier transform. This is joint work with Philipp Grohs and Irina Shafkulovska
17 October 2022 - Talk at the Harmonic Analysis Seminar at the University of Vienna: Link
23 September 2022 - New preprint on arXiv: Phaseless sampling on square-root lattices. This is joint work with Philipp Grohs.
12 September 2022 - I gave a talk at the 8th International Conference on Computational Harmonic Analysis
25 July 2022 - My joint work with Philipp Grohs and Martin Rathmair is now available on ArXiv. This paper initiates the study of multi-window STFT phase retrieval.
12 July 2022 - New preprint on ArXiv: Non-uniqueness theory in sampled STFT phase retrieval. This is joint work with Philipp Grohs
21 June 2022 - Talk at the 10th International Conference on Curves and Surfaces, Arcachon, France; title: Infinite-dimensional STFT phase retrieval from lattice samples, link
07 June 2022 - Talk at the 11th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Spain; title: STFT phase retrieval: uniqueness and discretization barriers
23 May 2022 - I gave a talk at the Harmonic Analysis Seminar at the University of Vienna; link to the announcement: nuhag.univie
04 April 2022 - My joint work with Philipp Grohs got accepted at Journal of Fourier Analysis and Application; link to the published article: link.springer
04 November 2021 - New preprint on arXiv: On foundational discretization barriers in STFT phase retrieval. This is joint work with Philipp Grohs.
13 September 2021 - Talk at the International Conference on Computational Harmonic Analysis 2021 (Online-ICCHA2021) entitled 'Infinite-dimensional STFT phase retrieval from spectrogram samples'
06 September 2021 - New preprint on arXiv: Stable Gabor phase retrieval in Gaussian shift-invariant spaces via biorthogonality. This is joint work with Philipp Grohs.
01 September 2021 - From 06 September till 27 September I will give the lecture "Preparatory Course for Data Science" for Master students of the Data Science program at the University of Vienna
12. November 2020 - My joint work with Frank Filbir entitled Phase Distortion by Linear Signal Transforms got accepted for publication at Frontiers in Applied Mathematics and Statistics.
13 October 2020 - New preprint on arXiv: Injectivity of Gabor phase retrieval from lattice measurements. This is joint work with Philipp Grohs.
1 April 2020 - I joined Philipp Grohs' group as a Ph.D. student.
31 January 2020 - Poster presentation at the Rhein-Ruhr-Workshop 2020 (Title: Reconstruction of Signals from Truncated Phaseless Measurements)
25 January 2020 - My joint work with Peter Massopust, entitled On the mathematical validity of the Higuchi method, got accepted for publication at Physica D: Nonlinear Phenomena
(Last update: 4 Oct 2023)