Geodesic
On new spectral multiplicities for ergodic maps
Alexandre I. Danilenko1
1 Institute for Low Temperature Physics Engineering National Academy of Sciences of Ukraine 47 Lenin Ave. Kharkov, 61164, Ukraine
Studia Mathematica, Tome 197 (2010) no. 1, pp. 57-68

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm197-1-5
Keywords: shown each subset positive integers contains realizable set essential values multiplicity function koopman operator weakly mixing transformation

Alexandre I. Danilenko 1

1 Institute for Low Temperature Physics Engineering National Academy of Sciences of Ukraine 47 Lenin Ave. Kharkov, 61164, Ukraine 
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Alexandre I. Danilenko. On new spectral multiplicities for ergodic maps. Studia Mathematica, Tome 197 (2010) no. 1, pp. 57-68. doi: 10.4064/sm197-1-5

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