A question by Alexei Aleksandrov and logarithmic determinants

Details A question by Alexei Aleksandrov and logarithmic determinants A question by Alexei Aleksandrov and logarithmic determinants

2001-08-28

arxiv.org/abs/math/0108187v1

Mathematics

Complex Variables

10 pages, to appear in Mat. fizika, analiz, geometriya (Kharkov)

Scientific paper

We answer negatively to the question posed by Aleksandrov concerning analytic
functions of Smirnov's class in the unit disk with pure imaginary boundary
values. We also find new sufficient conditions for representations of functions
of Smirnov's class by the Schwartz and Cauchy integrals. These conditions
extend a previous result of Aleksandrov.

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