Мифы и гены: Глубокая историческая реконструкция
Battles of the First World War were accompanied by what was the first full-scale war of words in European history. It was aimed at influencing the public opinion abroad as well as at mobilizing the population at home. Leading intellectuals, including famous scholars, participated in propaganda campaigns waged by the belligerent nations. This text focuses on the discussions between philosophers
involved in the international conflict.
In his article Vladimir Kantor explores the destiny of Russia intelligentsia within the context of cultural crisis that took place at the turn of XIX and XX centuries, analyzing the Vekhovs, a group of leading intellectuals who ran a collection of essays, titled "Vekhi", studying their relationship towards that Russian cultural phenomenon. To author, the intelligentsia is considered as a critical factor in the development of Russian history. Within a context of the struggle around the "Vekhi", by referring to famous philosophical and literature books, published in 1909, the author focuses on relationships between intelligentsia and ordinary people, their attractive and repulsive interaction, which represents the key theme of the Russian destiny. Any historical movement occurs through tragedy; heroes who move the history have to sacrifice themselves to provide that movement. Confirmation to that idea would be rejection and exclusion of the Russian intelligentsia from the country's mentality throughout a number of generations which ultimately led to its tragic being.
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.