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On the Partial Sums of a Fourier Series

โœ Scribed by Horst Alzer; Stamatis Koumandos


Publisher
Springer
Year
2007
Tongue
English
Weight
161 KB
Volume
27
Category
Article
ISSN
0176-4276

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๐Ÿ“œ SIMILAR VOLUMES


On a property of the finite Fourier part
โœ R.J. Kulperger ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 315 KB

Let {X,; n~>l} be a stationary sequence of random variables with finite variance, and dN(2) be the finite Fourier transform based on data Xi .... ,AN. Let AN(t), 0~<t~<l be the normalized process of partial sums of the finite Fourier transforms. In general, AN does not converge to a Gaussian process