Publications

Articles

1. M. Faulhuber, A. Gumber, I. Shafkulovska. The AGM of Gauss, Ramanujan’s corresponding theory, and spectral bounds of self-adjoint operators, 2025.
   Monatshefte für Mathematik, https://doi.org/10.1007/s00605-024-02051-0
2. M. Faulhuber, I. Shafkulovska, I. Zlotnikov. A note on energy minimization in dimension 2, 2024.
   Proc. Amer. Math. Soc. Ser. B 11, 664–679, https://doi.org/10.1090/bproc/247
3. K. Gröchenig, I. Shafkulovska. Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines, 2023.
   J. Approx. Theory, 106118, https://doi.org/10.1016/j.jat.2024.106118
4. H. Führ, I. Shafkulovska. The metaplectic action on modulation spaces, 2024.
   Appl. Comput. Harmon. Anal., vol. 68, doi.org/10.1016/j.acha. 2023.101604
5. M. Faulhuber, I. Shafkulovska. Gabor frame bound optimizations, 2023.
   Appl. Comput. Harmon. Anal., vol. 67, doi.org/10.1016/j.acha.2023.101574

Conference proceedings

1. K. Gröchenig, I. Shafkulovska. Sampling theorems with derivatives in shift-invariant spaces generated by exponential B-splines, 2023.
   Proceedings of the 2023 International Conference on Sampling Theory and Applications (SampTA), New Haven, CT, USA, doi.org/10.1109/SampTA59647.2023.10301409

Preprints

1. K. Gröchenig, I. Shafkulovska. Benedicks-type uncertainty principle for metaplectic time-frequency representations, 2024.
   arXiv preprint: 2405.12112
2. M. Faulhuber, I. Zlotnikov, I. Shafkulovska. On the frame property of Hermite functions and analytic extensions of their frame sets, 2024.
   arXiv preprint: 2403.10503
3. K. Gröchenig, I. Shafkulovska. Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines, 2023.
   arXiv preprint: 2311.08352
4. P. Grohs, L. Liehr, I. Shafkulovska. From completeness of discrete translates to phaseless sampling of the short-time Fourier transform, 2022.
   arXiv preprint: 2211.05687

Thesis

1. I. Shafkulovska. Topics in time-frequency analysis. Doctoral thesis, University of Vienna, June 2024
2. I. Shafkulovska. Strichartz-Ungleichungen und metaplektische Wirkungen auf Modulationsräumen (Strichartz estimates and the metaplectic action on modulation spaces). Master thesis, RWTH Aachen University, August 2021
3. I. Shafkulovska. Datenapproximation durch endlich erzeugte invariante Teilräume (Data approximation by finitely generated invariant subspaces). Bachelor thesis, RWTH Aachen University, Juni 2020