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Integrability theorem for Fourier series and Parseval equation

โœ Scribed by Masako Izumi; Shin-ichi Izumi

Publisher
Elsevier Science
Year
1967
Tongue
English
Weight
345 KB
Volume
18
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

Strong Convergence Theorem for Vilenkinโ€“
Strong Convergence Theorem for Vilenkinโ€“Fourier Series
โœ Pรฉter Simon ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 130 KB

The so-called Vilenkin systems and the Hardy spaces H 0p F 1 with respect to Vilenkin groups will be considered. We investigate certain means of the partial sums of VilenkinแŽFourier series. It will be shown that these means, as operators from H p to L p , are bounded.