English

On new spectral multiplicities for ergodic maps

Dynamical Systems 2009-05-01 v1

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.

Keywords

Cite

@article{arxiv.0904.4808,
  title  = {On new spectral multiplicities for ergodic maps},
  author = {Alexandre I. Danilenko},
  journal= {arXiv preprint arXiv:0904.4808},
  year   = {2009}
}
R2 v1 2026-06-21T12:56:50.729Z