Статистика инноваций: первые результаты и ближайшие перспективы
The article analyses Russia’s policy response to developments in its mineral resources base (often perceived as an exploration crisis), with a focus on oil. The authors review and discuss trends in exploration (including its organization and efficiency), recent developments in its financing, and the reorganization of exploration activity. The evolution of Russia’s licensing system is presented, drawing attention to changes that have affected incentives, risks, and barriers to potential resource users, both Russian and foreign. Also identified are conflicts between the objectives of resource managers and broader political goals and interests.
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.