A question by Alexei Aleksandrov and logarithmic determinants

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Keywords

Complex Variables

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62090

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108187
 http://arxiv.org/abs/math/0108187

Collections

arXiv