On the $\alpha$-decompositions of characteristic functions that are limiting values of analytic functions

G. P. Chistyakov


Abstract: In this paper an affirmative answer is given to the following question of D. Dugué: Are the $\alpha$-components of a characteristic function, analytic in the strip $I=\{t:a<\operatorname{Im}t<0\}$, $a<0$, analytic in the same strip?
Bibliography: 6 titles.

UDC: 519.21

MSC: 60E10

Received: 01.06.1977

 English version: Mathematics of the USSR-Sbornik, 1979, 35:4, 555–567

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