2001/08/28 by Mikhail Sodin, Sodin, Mikhail
Mathematics · #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV
paper · pdf · doi:10.48550/arxiv.math/0108187
10 pages, to appear in Mat. fizika, analiz, geometriya (Kharkov)
arxiv created 2001/08/28 · openalex publication_date 2001/08/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.