Анализ экономической динамики США, СССР и России с помощью модели ПРВ
The Shifting Mode of Reproduction (SMR) model is used as a tool for analyzing some of the dynamic processes inherent in the USA in 1947-2010, the USSR in 1961-1990, and modern Russia in 1992-2016. In particular, the model has not only recorded a well-known fact of increasing inefficiency of fixed assets in the USSR, but also helped establish the main causes of this phenomenon. The model has been confirmed both by the fact of surplus savings growth at the hands of the population in the last years of the existence of the USSR, and the fact of the collapse of these savings in Russia in1992-1994. Finally, using the SMR-model it is shown that despite serious difficulties in 2009-2015 the process of increasing the share of young fixed capital in the Russian economy has been identified, which indicates the beginning of qualitative changes in its structure.
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.