Roman Bessonov
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View article: Stability of Schur’s iterates and fast solution of the discrete integrable NLS
Stability of Schur’s iterates and fast solution of the discrete integrable NLS Open
We prove a sharp stability estimate for Schur iterates of contractive analytic functions in the open unit disk. We then apply this result in the setting of the inverse scattering approach and obtain a fast algorithm for solving the discret…
View article: AUTOMATED COLLECTION SYSTEM OF BASEBALL MEASURMENT STATISTICS
AUTOMATED COLLECTION SYSTEM OF BASEBALL MEASURMENT STATISTICS Open
The article is devoted to the development of a system for the automated collection of measuring statistics of the baseball games based on measurements of an optoelectronic system, input of information by scorers, and a web site that displa…
View article: Stability of Schur's iterates and fast solution of the discrete integrable NLS
Stability of Schur's iterates and fast solution of the discrete integrable NLS Open
We prove a sharp stability estimate for Schur iterates of contractive analytic functions in the open unit disk. We then apply this result in the setting of the inverse scattering approach and obtain a fast algorithm for solving the discret…
View article: On rate of convergence for universality limits
On rate of convergence for universality limits Open
Given a probability measure $μ$ on the unit circle $\mathbb{T}$, consider the reproducing kernel $k_{μ,n}(z_1, z_2)$ in the space of polynomials of degree at most $n-1$ with the $L^2(μ)$-inner product. Let $u, v \in \mathbb{C}$. It is know…
View article: Sobolev norms of $L^2$-solutions to NLS
Sobolev norms of $L^2$-solutions to NLS Open
We apply inverse spectral theory to study Sobolev norms of solutions to the nonlinear Schrodinger equation. For initial datum $q_0\in L^2(\mathbb{R})$ and $s\in [-1,0]$, we prove that there exists a conserved quantity that is equivalent to…
View article: De Branges canonical systems with finite logarithmic integral
De Branges canonical systems with finite logarithmic integral Open
Krein-de Branges spectral theory establishes a correspondence between the\nclass of differential operators called canonical Hamiltonian systems and\nmeasures on the real line with finite Poisson integral. We further develop this\narea by g…
View article: Results of radiation tests of a new generation high-precision star sensor and its components
Results of radiation tests of a new generation high-precision star sensor and its components Open
Звёздные датчики -это оптико-электронные устройства, предназначенные для определения ориентации в условиях космического пространства.Один из факторов, воздействующих на аппаратуру в космосе, -ионизирующее излучение космического пространств…
View article: Reflectionless canonical systems, II. Almost periodicity and character-automorphic Fourier transforms
Reflectionless canonical systems, II. Almost periodicity and character-automorphic Fourier transforms Open
We develop a comprehensive theory of reflectionless canonical systems with an arbitrary Dirichlet-regular Widom spectrum with the Direct Cauchy Theorem property. This generalizes, to an infinite gap setting, the constructions of finite gap…
View article: Research and compensation for the methodological error in measuring the coordinates of stars by orientation sensors during flight operation
Research and compensation for the methodological error in measuring the coordinates of stars by orientation sensors during flight operation Open
В статье представлены результаты исследования одной из составляющих погрешности измерения координат энергетических центров звёзд, зарегистрированных на ПЗС-матрицах датчиков ориентации.Основной материал для исследований накоплен в процессе…
View article: Wiener--Hopf operators admit triangular factorization
Wiener--Hopf operators admit triangular factorization Open
We prove that every positive bounded invertible Wiener--Hopf operator admits triangular factorization. This answers the question posed by L. Sakhnovich in 1994.
View article: Issues of providing geographic referencing of Earth remote sensing images
Issues of providing geographic referencing of Earth remote sensing images Open
Одной из важнейших характеристик спутниковых данных ДЗЗ является точность их геопривязки.Обеспечение точности геопривязки во многом определяется точностью измерения ориентации бортовыми средствами КА и точностью измерений приборов звёздной…
View article: The effect of outer space radiation on the operation of BOKZ devices during their long-term operation
The effect of outer space radiation on the operation of BOKZ devices during their long-term operation Open
современные проблемы дЗЗ из космоса
View article: Features of coordinate measuring by opto-electronic star trackers with different angular resolution
Features of coordinate measuring by opto-electronic star trackers with different angular resolution Open
Широко распространённые в отечественной и зарубежной космической технике звёздные датчики ориентации используют малогабаритную оптику, параметры которой несравнимы с параметрами астрономических инструментов, с помощью которых составляются …
View article: Technology for ground processing of data on the stars’ coordinates in order to improve the accuracy of georeferencing Earth images from space
Technology for ground processing of data on the stars’ coordinates in order to improve the accuracy of georeferencing Earth images from space Open
В статье представлены результаты работ по повышению точности измерения ориентации приборами БОКЗ-М60 и геопривязки данных ДЗЗ КА «Ресурс-П» № 3 за счёт использования технологии наземной обработки данных о координатах звёзд.Реализованная те…
View article: Reconstruction of spacecraft attitude motion by measurements of star trackers and angular rate sensor using least squares method
Reconstruction of spacecraft attitude motion by measurements of star trackers and angular rate sensor using least squares method Open
РОССИЙСКАЯ АКАДЕМИЯ НАУКОрдена Ленина ИНСТИТУТ ПРИКЛАДНОЙ МАТЕМАТИКИ им.М.В.Келдыша Р.В. Бессонов, А
View article: Mathematical model of the measurement bench for determination of internal orientation elements
Mathematical model of the measurement bench for determination of internal orientation elements Open
Стенд определения элементов внутреннего ориентирования предназначен для фотограмметрической калибровки оптических звёздных датчиков, разрабатываемых в ИКИ РАН.На стенде определяются основные параметры оптической системы: фокусное расстояни…
View article: The test bench study of star image energy center determination error in star trackers
The test bench study of star image energy center determination error in star trackers Open
В статье описан процесс измерения одного из типов методической ошибки звёздных датчиков и приводятся результаты её измерения.Эта разновидность методической ошибки представляет собой несовпадение вычисленного энергетического центра изображе…
View article: Sampling measures, Muckenhoupt Hamiltonians, and triangular factorization
Sampling measures, Muckenhoupt Hamiltonians, and triangular factorization Open
Let $μ$ be an even measure on the real line $\mathbb{R}$ such that $$c_1 \int_{\mathbb{R}}|f|^2\,dx \le \int_{\mathbb{R}}|f|^2\,dμ\le c_2\int_{\mathbb{R}}|f|^2\,dx$$ for all functions $f$ in the Paley-Wiener space $\mathrm{PW}_{a}$. We pro…
View article: Classification and analysis of errors in estimating coordinates of objects in images of starry sky
Classification and analysis of errors in estimating coordinates of objects in images of starry sky Open
2 АО «ЛОМО», Санкт-
View article: An inverse problem for weighted Paley–Wiener spaces
An inverse problem for weighted Paley–Wiener spaces Open
Let $\mu$ be a measure on the real line $\mathbb{R}$ such that $\int_{\mathbb{R}}\frac{d\mu(t)}{1+t^2} < \infty$ and let $a>0$. Assume that the norms $\|f\|_{L^2(\mathbb{R})}$ and $\|f\|_{L^2(\mu)}$ are comparable for functions $f$ in the …
View article: Sampling measures, Muckenhoupt Hamiltonians, and triangular\n factorization
Sampling measures, Muckenhoupt Hamiltonians, and triangular\n factorization Open
Let $\\mu$ be an even measure on the real line $\\mathbb{R}$ such that $$c_1\n\\int_{\\mathbb{R}}|f|^2\\,dx \\le \\int_{\\mathbb{R}}|f|^2\\,d\\mu \\le\nc_2\\int_{\\mathbb{R}}|f|^2\\,dx$$ for all functions $f$ in the Paley-Wiener space\n$\\…
View article: Determination of a spacecraft attitude motion by measurements of four star sensors
Determination of a spacecraft attitude motion by measurements of four star sensors Open
РОССИЙСКАЯ АКАДЕМИЯ НАУКОрдена Ленина ИНСТИТУТ ПРИКЛАДНОЙ МАТЕМАТИКИ им.М.В.Келдыша Г.А