The article explores the existing mechanisms and instruments for examining and realizing possible regional economic policies, as well as the current system of state planning, evaluation, and forecast for the Russian Federation. It likewise examines the formation and realization of federal programmatic goals at the regional level. The article demonstrates different levels of regional socio-economic development, as well as the necessity of supporting federal centers in promoting diverse regional development to decrease interregional distinctions based on the example of the Northwest federal county regions.
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.