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This symposium is dedicated to the memory of A. Rajchman (1891–1940), A. Zygmund (1900–1992) and J. Marcinkiewicz (1910–1940). They are outstanding Polish mathematicians and have gained worldwide recognition. The scientific research of Rajchman, Zygmund and Marcinkiewicz was devoted to calculus, theory of functions of real and complex variable, functional analysis and probability theory. In their research much attention was concentrated on the metric theory of functions and its various applications. Thus, a detailed investigation was made of trigonometric series, singular operators, approximation and interpolation theory, applications of probability theory to calculus and other questions. It is common knowledge that Zygmund ([2], [3]) and Bari [1] published great monographs on trigonometric series, which became textbooks for many mathematicians of the world. In the present paper we will give only a short survey of a series of results, where the research of Russian and Polish mathematicians aimed at solving common problems.

On interconnections between the research of Russian and Polish mathematicians in the theory of functions