This short abstract present the cohort research on youth migration in Russia. The research is based on Census data. Method of shifting ages is used.
Migration (especially internal) changes sex-age structures substantially both in donor and host areas. As long as migration involves mainly young people, their relocation to the big cities (mainly regional centers) accelerates population ageing in peripheral areas and thus depopulation. Ageing is particularly fast in the Russian hinterland. Here you can find areas with the median age of population reaching the edge of 50 years. The cohort research on youth’s migration to the centers on the last two Russian census data shows that up to 70% of school graduates leave the regional periphery for good. At the end of the article there is an author’s method which presents the attempt to estimate the trend in regional center’s migration attractiveness for the youths.
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.