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Summability properties for the distribution of sequences

โœ Scribed by G. M. Petersen; A. Zame


Publisher
Springer Vienna
Year
1969
Tongue
English
Weight
416 KB
Volume
73
Category
Article
ISSN
0026-9255

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Some Properties of Uniformly Distributed
โœ Y.N. Sun ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 258 KB

We show that if a transformation \(T\) on the unit interval is surjective, piecewise continuously differentiable, and uniform distribution preserving, then every u.d. sequence \(\bmod 1\) is the image of some other u.d. sequence \(\bmod 1\) induced by \(T\). As a consequence, we obtain that every u.