Деловой климат в малых розничных организациях в I квартале 2017 года.
In this paper the influence of branch tendencies of development of small retail business on dynamics of one of the leading quantitative indices of economic development of Russia - the index of physical volume (IPV) of the retail trade turnover is investigated.
The response of the macro aggregate to the artificial shocks entered into dynamics of the not quantitative composite indicators (CI) characterizing business tendencies of small trade business is simulated. For carrying out such analysis there was involved, based on modern VAR approaches, the impulse response function constructed on the VECM model.
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.