My research is in Harmonic Analysis and related topics which include:

- Translational tilings and multi-tilings
- Fourier quasicrystals
- Fuglede's spectral set conjecture
- Frames and Riesz bases
- Equidistribution and discrepancy

- Schauder frames of discrete translates in L^p(R) (with A. Tselishchev). Submitted.
- Schauder frames of discrete translates in L^2(R) (with A. Tselishchev). Submitted.
- There are no unconditional Schauder frames of translates in L^p(R), 1≤p≤2 (with A. Tselishchev). Submitted.
- Completeness of uniformly discrete translates in L^p(R). Journal d'Analyse Mathématique, accepted.
- Support of extremal doubly stochastic arrays (with M. Etkind). Israel Journal of Mathematics, accepted.
- Functions tiling simultaneously with two arithmetic progressions (with M. Etkind). Proceedings of the London Mathematical Society 127 (2023), no. 6, 1775-1815.
- Spectral sets and weak tiling (with M. Kolountzakis, M. Matolcsi). Sampling Theory, Signal Processing, and Data Analysis 21 (2023), Paper No. 31, 21 pp.
- The Fuglede conjecture for convex domains is true in all dimensions (with M. Matolcsi). Acta Mathematica 228 (2022), no. 2, 385-420.
- Gabor orthonormal bases, tiling and periodicity (with A. Debernardi). Mathematische Annalen 384 (2022), no. 3-4, 1461-1467.
- Riesz bases of exponentials for convex polytopes with symmetric faces (with A. Debernardi). Journal of the European Mathematical Society JEMS 24 (2022), no. 8, 3017-3029.
- An example concerning Fourier analytic criteria for translational tiling. Revista Matemática Iberoamericana 38 (2022), no. 6, 1975-1991.
- Tiling by translates of a function: results and open problems (with M. Kolountzakis). Discrete Analysis 2021, Paper No. 12, 24 pp.
- Spectrality of polytopes and equidecomposability by translations (with B. Liu). International Mathematics Research Notices IMRN 2021, no. 18, 13867-13891.
- Crystalline temperate distributions with uniformly discrete support and spectrum (with G. Reti). Journal of Functional Analysis 281 (2021), no. 4, Paper No. 109072, 15 pp.
- Poisson summation formulas involving the sum-of-squares function (with G. Reti). Israel Journal of Mathematics 246 (2021), no. 1, 403-421.
- Spectrality of product domains and Fuglede's conjecture for convex polytopes (with R. Greenfeld). Journal d'Analyse Mathématique 140 (2020), no. 2, 409-441.
- Multi-tiling and equidecomposability of polytopes by lattice translates (with B. Liu). Bulletin of the London Mathematical Society 51 (2019), no. 6, 1079-1098.
- Fourier frames for singular measures and pure type phenomena. Proceedings of the American Mathematical Society 146 (2018), no. 7, 2883-2896.
- Riesz bases, Meyer's quasicrystals, and bounded remainder sets (with S. Grepstad). Transactions of the American Mathematical Society 370 (2018), no. 6, 4273-4298.
- Fuglede's spectral set conjecture for convex polytopes (with R. Greenfeld). Analysis & PDE 10 (2017), no. 6, 1497-1538.
- Fourier quasicrystals and discreteness of the diffraction spectrum (with A. Olevskii). Advances in Mathematics 315 (2017), 1-26.
- Quasicrystals with discrete support and spectrum (with A. Olevskii). Revista Matemática Iberoamericana 32 (2016), no. 4, 1341-1352.
- Spectrality and tiling by cylindric domains (with R. Greenfeld). Journal of Functional Analysis 271 (2016), no. 10, 2808-2821.
- On non-periodic tilings of the real line by a function (with M. Kolountzakis). International Mathematics Research Notices IMRN 2016, no. 15, 4588-4601.
- Equidistribution estimates for Fekete points on complex manifolds (with J. Ortega-Cerdà). Journal of the European Mathematical Society JEMS 18 (2016), no. 2, 425-464.
- Quasicrystals and Poisson's summation formula (with A. Olevskii). Inventiones mathematicae 200 (2015), no. 2, 585-606.
- Separating signal from noise (with R. Peled, Y. Peres). Proceedings of the London Mathematical Society 110 (2015), no. 4, 883-931.
- Sets of bounded discrepancy for multi-dimensional irrational rotation (with S. Grepstad). Geometric And Functional Analysis GAFA 25 (2015), no. 1, 87-133.
- Universal sampling, quasicrystals and bounded remainder sets (with S. Grepstad). Comptes Rendus Mathématique 352 (2014), no. 7-8, 633-638.
- Multi-tiling and Riesz bases (with S. Grepstad). Advances in Mathematics 252 (2014), 1-6.
- Algebraic functions in the Wiener algebra (with A. Fehm, E. Paran). Communications in Algebra 42 (2014), no. 9, 3969-3979.
- Measures with uniformly discrete support and spectrum (with A. Olevskii). Comptes Rendus Mathématique 351 (2013), no. 15-16, 599-603.
- Riesz bases of exponentials on multiband spectra. Proceedings of the American Mathematical Society 140 (2012), no. 9, 3127-3132.
- Exponential Riesz bases, discrepancy of irrational rotations and BMO (with G. Kozma). Journal of Fourier Analysis and Applications 17 (2011), no. 5, 879-898.
- Uniqueness theorems for Fourier transforms. Bulletin des Sciences Mathématiques 135 (2011), no. 2, 134-140.
- Wiener's 'closure of translates' problem and Piatetski-Shapiro's uniqueness phenomenon (with A. Olevskii). Annals of Mathematics 174 (2011), no. 1, 519-541.
- No characterization of generators in l^p (1<p<2) by zero set of Fourier transform (with A. Olevskii). Comptes Rendus Mathématique 346 (2008), no. 11-12, 645-648.
- Piatetski-Shapiro phenomenon in the uniqueness problem (with A. Olevskii). Comptes Rendus Mathématique 340 (2005), no. 11, 793-798.

Ph.D thesis prepared under supervision of Professor Alexander Olevskii (Tel-Aviv University, 2008).

Some of the above papers are also available in arXiv version.

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