On the Dirichlet Kernels with respect to certain special representative product systems

• Published in: Український математичний журнал
• Date: 2014
• Main Author: Blahota, I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166316
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Dirichlet Kernels with respect to certain special representative product systems / I. Blahota // Український математичний журнал. — 2014. — Т. 66, № 11. — С. 1578–1584. — Бібліогр.: 4 назв. — англ.

The Fourier analysis uses the calculations with kernel functions from the very beginning. The maximal values of the n th Dirichlet kernels divided by n for the Walsh–Paley, “classical” Vilenkin, and some other systems are 1. In the paper, we deal with some more general systems and use the accumulate...