Geodesic
On new spectral multiplicities for ergodic maps
Alexandre I. Danilenko1
1Institute 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 
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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