Preprints:
A. Caragea, M. Kolountzakis, G. Pfander: Tilings, packings, and the existence of Schwartz-class Gabor windows, arXiv preprint
A. Caragea, G. Pfander: Schwartz-Class Gabor windows and the Balian-Low classification, arXiv preprint
Preprints:
A. Caragea, M. Kolountzakis, G. Pfander: Tilings, packings, and the existence of Schwartz-class Gabor windows, arXiv preprint
A. Caragea, G. Pfander: Schwartz-Class Gabor windows and the Balian-Low classification, arXiv preprint
Journal publications and Ph.D. thesis:
A. Caragea, D. G. Lee, R. Malikiosis, G. Pfander: Principal minors of Fourier matrices of square-free order, to appear in Discrete Analysis, arXiv version
A. Caragea, D. G. Lee: On the principal minors of Fourier matrices, to appear in Commun. Korean Math. Soc., arXiv version
A. Caragea, K. Dichter, K. Gottwald, F. Grundbacher, T. Jahn, M. Runge: Minkowski chirality: A measure of reflectional asymmetry of convex bodies, J. Math. Anal. Appl. 557(2026), no. 1, paper no. 130287, 34 pp., https://doi.org/10.1016/j.jmaa.2025.130287, arXiv version
A. Caragea: Balian-Low phenomena, exponential bases and neural network approximation, Ph.D. Thesis (2024), https://doi.org/10.17904/ku.opus-908
A. Caragea, P. Petersen and F. Voigtlaender: Neural network approximation and estimation of classifiers with classification boundary in a Barron class, Ann. Appl. Probab. 33 (2023), no. 4, 3039-3079, https://doi.org/10.1214/22-aap1884, arXiv version
A. Caragea, D. G. Lee, F. Philipp and F. Voigtlaender: A Balian-Low type theorem for Gabor Riesz sequences of arbitrary density, Math. Z. 303 (2023), no. 2, paper no. 48, https://doi.org/10.1007/s00209-022-03182-6, arXiv version
A. Caragea and D. G. Lee: A note on exponential Riesz bases, Sampl. Theory Signal Process. Data Anal. 20 (2022), no. 2, paper no. 13, https://doi.org/10.1007/s43670-022-00031-9, arXiv version
A. Caragea, D. G. Lee, J. Maly, G. Pfander and F. Voigtlaender: Quantitative approximation results for complex-valued neural networks, SIAM J. Math. Data Sci. 4 (2022), no. 2, 553-580, https://doi.org/10.1137/21M1429540, arXiv version
A. Caragea, D. G. Lee, F. Philipp and F. Voigtlaender: A quantitative subspace Balian-Low theorem, Appl. Comput. Harmon. Anal. 55 (2021), 368-404, https://doi.org/10.1016/j.acha.2021.06.005, arXiv version
A. Caragea, D. G. Lee, G. Pfander and F. Philipp: A Balian-Low theorem for subspaces, J. Fourier Anal. Appl. 25 (2019), no. 4,1673-1694, https://doi.org/10.1007/s00041-018-9634-2, arXiv version
Refereed Conference Proceedings:
A. Caragea, D. G. Lee, R. Malikiosis, G. Pfander: Towards a conjecture concerning minors of Fourier matrices, 2025 International Conference on Sampling Theory and Applications (SampTA) (2025), https://doi.org/10.1109/SampTA64769.2025.11133507
A. Caragea, D. G. Lee, F. Philipp and F. Voigtlaender: A quantitative Balian-Low theorem for subspaces, Proceedings of the 13th International Conference on Sampling Theory and Applications (SampTA) (2019), https://doi.org/10.1109/SampTA45681.2019.9030951
A. Caragea, D. G. Lee, F. Philipp and F. Voigtlaender: Time-frequency shift invariance of Gabor spaces, Proceedings of the 13th International Conference on Sampling Theory and Applications (SampTA) (2019), https://doi.org/10.1109/SampTA45681.2019.9030919
Conference Talks:
Towards a conjecture concerning minors of Fourier matrices, Sampling Theory and Applications 2025
On extensions of Chebotarëv's theorem for Fourier minors, invited talk, Discrete and Applied Fourier Analysis 2025
Approximation rates of complex valued NNs, DMV meeting Ilmenau 2023
Complementable and hierarchical Riesz bases of exponentials, International Conference on Computational Harmonic Analysis 2022
A quantitative Balian-Low theorem for subspaces, Sampling Theory and Applications 2019
A quantitative Balian-Low theorem for subspaces, Aspects of Time Frequency Analysis 2019
Seminar Talks:
Chebotarëv, Fourier minors and exponential bases, M15 Retreat, Raitenhaslach, October 2024
Chebotarëv, Fourier minors and exponential bases, MIDS Seminar, Ingolstadt, June 2024
Complementable and hierarchical Riesz bases of exponentials, Utrecht University, Netherlands, April 2024
Subspace Balian-Low theorems, Georgia Tech Analysis Seminar, Atlanta, USA, September 2019
Subspace Balian-Low theorems, Acoustics Research Institute, Vienna, Austria, September 2019