In the article the classification of indicators of efficiency of scientific activity, and also the list of criteria which they should satisfy are suggested. The indicator of productivity of scientific activity used in Russia (IPSA) is analyzed and its limitation for measurement of the results of scientific activity is proved. New IPSA, the technique of their calculation and the way of calculation of the wages of the faculty on the basis of these indicators are worked out.
scientific activity, a productivity indicator, a citing index, the impact factor
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.