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WALSH-FOURIER ANALYSIS OF DISCRETE-VALUED TIME SERIES

✍ Scribed by David S. Stoffer


Book ID
111039514
Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
909 KB
Volume
8
Category
Article
ISSN
0143-9782

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Given any Banach space X, let L: denote the Banach space of all measurable functions f : [0, 11 + X for which llfllz:=( Ilf(t)ll'dt)l'z is finite. We show that X is a UMD-space (see [l]) if and only if lim [ I f -SJj)llZ = O for all EL.:, n where n-1 SnCnl= C (h wi>wi i = o is the n-th partial sum