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Rectangular oscillation of the sequence of partial sums of a multiple Fourier series and absence of the BMO property

✍ Scribed by V. A. Rodin


Publisher
SP MAIK Nauka/Interperiodica
Year
1992
Tongue
English
Weight
137 KB
Volume
52
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


On a property of the finite Fourier part
✍ R.J. Kulperger πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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