Functional series representable as a sum of two universal series |
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Authors: | Email author" target="_blank">Sh?TetunashviliEmail author |
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Institution: | 1.Razmadze Mathematical Institute,Tbilisi State University,Tbilisi,Georgia;2.Georgian Technical University,Tbilisi,Georgia |
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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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