美国数学学会期刊
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作者:R. Macaitienė
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.53-58AMS
摘要:In the paper, some remarks are given on the density of shifts of the Riemann zeta-function $ \zeta (s+i\gamma _k)$, which approximate a wide class of analytic functions. Here the $ \gamma _k$ denote the imaginary parts of nontrivial zeros of $ \zeta (s)$.
作者:D. V. Korikov
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.13-51AMS
摘要:The Maxwell system in a bounded domain $ \Omega (\varepsilon )$ with finitely many cavities is considered. The cavity diameters are proportional to a small parameter $ \varepsilon $. The perfect conductivity conditions are given on the boundary $ \partial \Omega (\varepsilon )$. ...
作者:A. Tsybyshev
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.181-187AMS
摘要:In the present paper, the objects of consideration include a regular semilocal Noetherian scheme $ W$, a reductive group scheme $ G$ over $ W$ and a principal $ G$-bundle over $ \mathbb{P}^1_W$. The main theorem of the paper states that if the restriction of such a $ G$-bundle to...
作者:I. Nekrasov , G. Panina
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.59-67AMS
摘要:In geometrically meaningful terms, the cohomology ring is described for the moduli space of a flexible polygon. Two presentations are proposed, both are computation friendly: there are simple rules for the cup product.
作者:B. N. Khabibullin , A. V. Shmeleva
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.117-156AMS
摘要:Classical balayage of measures and subharmonic functions to a system $ S$ of rays with common origin on the complex plane $ \mathbb{C}$ is developed. For a subharmonic function $ v$ on $ \mathbb{C}$, this makes it possible to construct another subharmonic function on $ \mathbb{C}...
作者:D. A. Polyakova
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.85-105AMS
摘要:An exponential-polynomial basis is constructed in the space of all solutions of a homogeneous convolution equation in the Beurling spaces of ultradifferentiable functions of mean type on the real axis.
作者:M. Seto , S. Suda
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.107-116AMS
摘要:The relationship between a graph and its subgraph from a viewpoint of functional analysis is treated. As an application of the theory of quasi-orthogonal integrals developed by de Branges-Rovnyak and Vasyunin-Nikol'skiĭ, quadratic inequalities for graph Laplacians are given.
作者:S. Yu. Orevkov
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.81-84AMS
摘要:A rational function on a real algebraic curve $ C$ is said to be separating if it takes real values only at real points. Such a function gives rise to a covering $ \mathbb{R} C\to \mathbb{R}\mathbb{P}^1$. Let $ A_1,\dots ,A_n$ be connected components of $ \mathbb{R} C$. In a rece...
作者:D. V. Khlopin
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.157-179AMS
摘要:Dynamic antagonistic games are treated. The dependence of the game value on the payoff function is explored for games with one and the same dynamics, running cost, and possibilities of the players. Each payoff function is viewed as a running cost, averaged in terms of a certain p...
作者:M. I. Belishev , A. F. Vakulenko
来源:[J].St. Petersburg Mathematical Journal(IF 0.46), 2019, Vol.31 (1), pp.1-12AMS
摘要:Let $ \mathscr {A}(D)$ be a Banach algebra of functions continuous in $ D=\{z\in \mathbb{C} \,\vert\, \vert z\vert\leq 1\}$ and holomorphic inside $ D$. It is well known that the set $ \mathscr {M}^\mathbb{C}$ of its characters (homomorphisms $ \mathscr {A}(D)\to \mathbb{C}$) is ...

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