Информационно-статистический мониторинг изобретательской активности РАН на основе патентных информационных ресурсов
Principles of information-statistical monitoring and indicator evaluation of inventive activity using patent databases are considered. Implementation of the suggested principles to monitoring is performed to analyze the inventive activity of Russian Academy of Science (RAS) and its institutes.
The article deals with the statistical analysis of results of the scientific and technical activity, based on the data of patent statistics. This analysis allows to judge tendencies and level national technological development, structure, directions and intensity of commercialization of knowledge. In article the detailed analysis of patent activity which are carried out by the organizations of a scientific and technical complex is resulted.
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.