On new spectral multiplicities for ergodic maps
Alexandre I. Danilenko
Studia Mathematica, Tome 196 (2010), p. 57-68 / Harvested from The Polish Digital Mathematics Library
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It is shown that each subset of positive integers that contains 2 is realizable as the set of essential values of the multiplicity function for the Koopman operator of some weakly mixing transformation.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285517 
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Alexandre I. Danilenko. On new spectral multiplicities for ergodic maps. Studia Mathematica, Tome 196 (2010) pp. 57-68. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-5/