其他名称：
25-21-00044
项目负责人：
Yulmukhametov Rinad
发表日期：
2025
主持机构：
Ufa Federal Research Centre of the Russian Academy of Sciences,
国家：
俄罗斯
开始日期：
2025
结束日期：
2026
简介：
The project includes the problems related to complex and functional analysis, their relationships in the context of spaces of analytical (in particular, entire) functions. Common for all parts of the project is the extensive use of methods related to the theory of entire functions and Dirichlet series, and their relatives (nonharmonic Fourier series, systems of reproducing kernels).
In the first part of the project the systems of reproducing kernels in spaces of entire functions are studied. This classic topic is a subject of numerous researches devoted to concrete systems and concrete functional spaces. The aim of this part of the project is obtaining general conditions under which there are unconditional bases of reproducing kernels, as well as solving dual interpolation problems. This topic is actively developed in the works of Yu.S. Belov, A.D. Baranov, Boririchev A., Seip K., Lyubarskii Yu., Wallstein R., etc.
The second part of the project concerns generalized Dirichlet series in spaces with integral norms on an interval, on curves and also in domains of the real space. These problems (which are of considerable independent interest) arise naturally in analysis of the asymptotic behaviour of entire functions, spectral synthesis and complex dynamics.
The third part is devoted to the current topic of estimating upper and lower bounds for the density of Gaussian Gabor systems.
专业领域：
信息技术
语种：
英语
