Real Analysis Exchange
- Real Anal. Exchange
- Volume 44, Number 1 (2019), 65-76.
The Union Problem and The Category Problem of Sets of Uniqueness in the Theory of Orthogonal Series
These problems are considered for a wide range of orthogonal series. That is to say for trigonometric, Walsh, and other series on systems of characters of zero-dimensional compact abelian groups with the second axiom of countability. By this the sets of uniqueness are regarded for one-dimensional and multiple orthogonal series for many types of convergence.
Real Anal. Exchange, Volume 44, Number 1 (2019), 65-76.
First available in Project Euclid: 27 June 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 40A30: Convergence and divergence of series and sequences of functions
Secondary: 43A75: Analysis on specific compact groups
Kholshchevnikova, Natalia. The Union Problem and The Category Problem of Sets of Uniqueness in the Theory of Orthogonal Series. Real Anal. Exchange 44 (2019), no. 1, 65--76. doi:10.14321/realanalexch.44.1.0065. https://projecteuclid.org/euclid.rae/1561622432