Новая экономика: гадкий утёнок или Её величество?
At the present level of development the information and knowledge become important engines of global economic growth and key elements of national strate-gy for increasing country’s competitiveness in the international market. The article is aimed to analyze two monitoring systems of innovation capacity (ICT Development Index and Networked Readiness Index) as the indicators of development of knowledge economy and information society.
The authors of the papers from Croatia, Italy, Mexico, Poland, Romania, and Russia look for constructive ways of contributing to harmonic development of the personality in modern information society. The common feature of the papers is that they either relate to the new scientific discipline called Cognitonics or correspond to its goals. Cognitonics emerged in the first half of the 2000s. It aims (a) at explicating the distortions in the perception of the world caused by the information and communication technologies and globalization and (b) at coping with these distortions in different fields by means of elaborating systemic solutions for compensating the negative implications of the kind for the personality and society, in particular, for creating cognitive-cultural preconditions of the harmonic development of the personality in the information society and for ensuring the successful development of national cultures and national languages.
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.