Uniqueness of series in the Franklin system and the Gevorkyan problems
In 1870 G. Cantor proved that if \(\lim_{N \rightarrow \infty}\sum_{n=-N}^N c_{n}e^{inx} = 0\), \(\bar{c}_{n}=c_{n}\), then \(c_{n}=0\) for \(n\in\mathbb{Z}\). In 2004 G. Gevorkyan raised the issue that if Cantor's result extends to the Franklin system. He solved this conjecture in 2015. In 201...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2021-03-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol41/2/art/opuscula_math_4114.pdf |