Abstract
A series with coefficients tending monotonically (decreasing) to zero is constructed whose sum has the following property: for any complex number the set has the cardinality of the continuum. Here the domain contains the segment on both the real and the imaginary axes. The construction is based on corresponding properties of lacunary trigonometric series, which are presented in detail. Bibliography: 8 titles.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
