On the absolute summability of Fourier series of almost-periodic besicovitch functions

For almost-periodic Besicovitch functions whose spectrum has a limit point only at infinity, we establish criteria for the absolute Cesàro summability of their Fourier series of order greater than –1.

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Bibliographische Detailangaben
Datum:2009
Hauptverfasser: Timan, M. F., Khasanov, Yu., Тиман, М. Ф., Хасанов, Ю. Х.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3098
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:For almost-periodic Besicovitch functions whose spectrum has a limit point only at infinity, we establish criteria for the absolute Cesàro summability of their Fourier series of order greater than –1.