Email this article Functional series representable as a sum of two universal series
- Authors: Tetunashvili S.1,2
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Affiliations:
- Razmadze Mathematical Institute
- Georgian Technical University
- Issue: Vol 96, No 3 (2017)
- Pages: 578-579
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225422
- DOI: https://doi.org/10.1134/S106456241706014X
- ID: 225422
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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.
About the authors
Sh. Tetunashvili
Razmadze Mathematical Institute; Georgian Technical University
Author for correspondence.
Email: stetun@rmi.ge
Georgia, Tbilisi, 0177; Tbilisi, 0175
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