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On the collection of spectral multiplicities $$\{2, 4,\dots,2^n\}$$ for totally ergodic $$\mathbb Z^2$$-actions. (English. Russian original) Zbl 1370.37062
Math. Notes 96, No. 3, 360-368 (2014); translation from Mat. Zametki 96, No. 3, 383-392 (2014).
Summary: The paper is devoted to the realization of collections of spectral multiplicities for ergodic $$\mathbb Z^2$$-actions. Sufficient conditions ensuring the realizability of multiplicities of the form $$\{2,4,\dots,2^n\}$$ are given.

##### MSC:
 37C85 Dynamics induced by group actions other than $$\mathbb{Z}$$ and $$\mathbb{R}$$, and $$\mathbb{C}$$ 37A30 Ergodic theorems, spectral theory, Markov operators
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