Geodesic
Riesz Products, Random Walks, and the Spectrum
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 1, pp. 16-29

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It is shown that to a classical Riesz product one can naturally assign a random walk; the spectrum of the shifts on the tail algebra of the random walk is defined by the measure to which the Riesz product converges. This observation is extended to general groups, which leads to some operator analogs of Riesz products. The properties of operator Riesz products are investigated. 
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R. S. Ismagilov. Riesz Products, Random Walks, and the Spectrum. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 1, pp. 16-29. http://geodesic.mathdoc.fr/item/FAA_2002_36_1_a1/