Война во Вьетнаме: взгляд сквозь годы...
The bulk of research in the history of the Russian-Polish relations of modern and contemporary periods demands deliberation on the prospects of the further development of this research area. We need to think about how receptive it is towards innovations in historical science and, in its turn, capable of contributing to the general development of historical knowledge. In this connection various research strategies are being considered, the common basis of which can become entangled history.
Volume is devoted to a wide range of issues of history and modern foreign countries.
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.