## Takehiko Morita

*An alternative proof of the uniqueness of martingale-coboundary decomposition of strictly stationary processes*

Comment.Math.Univ.Carolin. 60,3 (2019) 415-419.**Abstract:**P.\ Samek and D.\ Voln\'y, in the paper ``Uniqueness of a martingale-coboundary decomposition of a stationary processes" (1992), showed the uniqueness of martingale-coboundary decomposition of strictly stationary processes. The original proof is given by reducing the problem to the ergodic case. In this note we give another proof without such reduction.

**Keywords:** strictly stationary process; martingale-coboundary decomposition

**DOI:** DOI 10.14712/1213-7243.2019.013

**AMS Subject Classification:** 28D05 60G10 60G42

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