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Matematicheskie Zametki, 2009, Volume 85, Issue 3, Pages 342–350
DOI: https://doi.org/10.4213/mzm5163 (Mi mzm5163) 		 
On Independent and Stationary Subsystems of the Walsh System and Periodic Multiplicative Systems

V. F. Gaposhkin

Moscow State University of Railway Communications
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DOI: https://doi.org/10.4213/mzm5163
Abstract: 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.
Received: 26.06.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 3, Pages 340–347
DOI: https://doi.org/10.1134/S0001434609030043
Bibliographic databases:
UDC: 517.518.83
Language: Russian
Citation: V. F. Gaposhkin, “On Independent and Stationary Subsystems of the Walsh System and Periodic Multiplicative Systems”, Mat. Zametki, 85:3 (2009), 342–350; Math. Notes, 85:3 (2009), 340–347
Citation in format AMSBIB
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