On the Strong Summability of Fourier–Walsh Series in the Besov Space
Igenberlina A. Keulimzhayeva Z.
February 2025Springer
Ukrainian Mathematical Journal
2025#76Issue 91472 - 1485 pp.
The Fourier–Walsh series of even continuous functions may be divergent at some points. Moreover, among integrable functions, there are functions such that their Fourier–Walsh series diverge everywhere on [0, 1). In this connection, it becomes necessary to consider various summation methods allowing one to restore a function according to its Fourier–Walsh series. We also study the Besov space on a dyadic group in terms of the strong summability. Finally, we present necessary information about the Fourier– Walsh transform.
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L. Gumilyov Eurasian National University, Astana, Kazakhstan
S. Seifullin Kazakh Agrotechnical University, Astana, Kazakhstan
L. Gumilyov Eurasian National University
S. Seifullin Kazakh Agrotechnical University
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