Geodesic
On Independent and Stationary Subsystems of the Walsh System and Periodic Multiplicative Systems
Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 342-350

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We show that the independence and stationarity properties in the narrow sense are equivalent for subsystems of the Walsh system. We consider several analogs of this result and some distinctions for subsystems of periodic multiplicative systems.
Keywords: Walsh system, periodic multiplicative system, weak multiplicativity, stationarity, boundary subsystem, Rademacher system. 
@article{MZM_2009_85_3_a2,
     author = {V. F. Gaposhkin},
     title = {On {Independent} and {Stationary} {Subsystems} of the {Walsh} {System} and {Periodic} {Multiplicative} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {342--350},
     publisher = {mathdoc},
     volume = {85},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a2/}
}
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V. F. Gaposhkin. On Independent and Stationary Subsystems of the Walsh System and Periodic Multiplicative Systems. Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 342-350. http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a2/