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Functional series representable as a sum of two universal series
Authors:Email author" target="_blank">Sh?TetunashviliEmail author
Institution:1.Razmadze Mathematical Institute,Tbilisi State University,Tbilisi,Georgia;2.Georgian Technical University,Tbilisi,Georgia
Abstract:Series with respect to systems Φ{φn(x)}n=1 of measurable and almost everywhere finite functions are discussed. A necessary and sufficient condition for representing any series with respect to a system Φ as a sum of two universal series is formulated. A consequence of the condition is that any series with respect to an arbitrary complete and orthonormal system Φ is a sum of two universal series.
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