Демографические перспективы России и задачи демографической политики
The aging of Russian population leads to inefficiency of Pay-As-You-Go system, where the benefits come solely from government taxation of current workers' wages, and seems to be one of the problems of Russian Pension System. This is the overview of Russian demographic settings compared to other countries from US CIA ranking. Long-run instruments of influencing demography in Russia are stated below.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.