|
This article is cited in 14 scientific papers (total in 14 papers)
On the uniqueness of series in the Franklin system
G. G. Gevorkyan Yerevan State University, Armenia
Abstract:
We prove: a) a uniqueness theorem for everywhere convergent series in the Franklin system; b) a uniqueness theorem for Franklin series that converge in measure, whose least upper bound of the sequence of modules of partial sums is finite everywhere, except possibly on a countable set, and whose coefficients satisfy a certain necessary condition.
Bibliography: 16 titles.
Keywords:
Franklin system, Cantor's theorem, uniqueness theorem.
Received: 01.12.2015 and 29.03.2016
Citation:
G. G. Gevorkyan, “On the uniqueness of series in the Franklin system”, Sb. Math., 207:12 (2016), 1650–1673
Linking options:
https://www.mathnet.ru/eng/sm8640https://doi.org/10.1070/SM8640 https://www.mathnet.ru/eng/sm/v207/i12/p30
|
|