On new spectral multiplicities for ergodic maps

Alexandre I. Danilenko

Studia Mathematica (2010)

  • Volume: 197, Issue: 1, page 57-68
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Alexandre I. Danilenko. "On new spectral multiplicities for ergodic maps." Studia Mathematica 197.1 (2010): 57-68. <http://eudml.org/doc/285517>.

@article{AlexandreI2010,
abstract = {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.},
author = {Alexandre I. Danilenko},
journal = {Studia Mathematica},
keywords = {dynamical system; weak mixing; Koopman operator},
language = {eng},
number = {1},
pages = {57-68},
title = {On new spectral multiplicities for ergodic maps},
url = {http://eudml.org/doc/285517},
volume = {197},
year = {2010},
}

TY - JOUR
AU - Alexandre I. Danilenko
TI - On new spectral multiplicities for ergodic maps
JO - Studia Mathematica
PY - 2010
VL - 197
IS - 1
SP - 57
EP - 68
AB - 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.
LA - eng
KW - dynamical system; weak mixing; Koopman operator
UR - http://eudml.org/doc/285517
ER -

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