Научные интересы:→ Свойства систем воспроизводящих ядер.
→ Анализ Габора.
→ Пространства де Бранжа.
→ Задачи спектрального синтеза.
→ Пространства типа Фока.
→ Другие пространства целых функций.
Избранные публикации:- Y. Belov, A. Kulikov, Y. Lyubarskii, Gabor frames for rational functions, Inventiones Mathematicae, 231, 431–466 (2023), DOI.
- Y. Belov, A. Borichev, The Newman-Shapiro problem, Journal of the European Mathematical Society (JEMS), 25 (2023), no. 4, pp. 1227–1251, DOI.
- A. Baranov, Y. Belov, Synthesizable differentiation-invariant subspaces, (2019), Geometric and Functional Analysis, 29(1), pp. 44-71, DOI.
- Y. Belov, Y. Lyubarskii, On summation of non-harmonic Fourier series, Constructive Approximation, (2016), Vol. 43:2, рр. 291–309, DOI.
- A. Baranov, Y. Belov, A. Borichev, Spectral synthesis in de Branges spaces, Geometric and Functional Analysis, (2015), Vol. 25, Iss. 2: pp. 417–452, DOI.
- Y. Belov, Uniqueness of Gabor series, Applied and Computational Harmonic Analysis 39 (2015), pp. 545–551, DOI.
- A. Baranov, Y.Belov, A.Borichev, Hereditary completeness for systems of exponentials and reproducing kernels, Advances in Mathematics 235 (2013), 525–554, DOI.
- Y. Belov, T. Mengestie, K. Seip, Discrete Hilbert transforms on sparse sequences, Proc. of London Math. Society (2011), Vol. 103, 73–105, DOI.