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Website:

Education:

→ 2014-2020 – Faculty of Mechanics and Mathematics, Lomonosov Moscow State University with honours;

→ 2020-2024 – graduate school of the Department of Theory of Functions and Functional Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, advisor Prof. P.A. Borodin;

→ 27.03.2025 – PhD Thesis "Density of the sums of shifts of one function" (Steklov Institute).

Keywords: approximation, sums of shifts, simple partial fractions, density, Hardy spaces.

Research Interests:

→ Density of sums of shifts of a single function

→ Density of simple partial fractions

→ Approximation theory and the geometry of Banach spaces

Publications:

2024

→ N. A. Dyuzhina, "Density of sums of shifts of a single function in \(L_2^0\) space on a compact abelian group", Mat. Sb., 215:6 (2024), 29–40, DOI.

2023

→ N. A. Dyuzhina, "Multidimensional Analogs of Theorems about the Density of Sums of Shifts of a Single Function", Math. Notes, 113:5 (2023), 731–735, DOI.

2021

→ N. A. Dyuzhina, "Density of Derivatives of Simple Partial Fractions in Hardy Spaces in the Half-Plane", Math. Notes, 109:1 (2021), 46–53, DOI.

2019

→ N. A. Dyuzhina, "Density of Sums of Shifts of a Single Function in Hardy Spaces on the Half-Plane", Math. Notes, 106:5 (2019), 711–719, DOI.