English

Spectral multiplicities for infinite measure preserving transformations

Dynamical Systems 2010-08-31 v2 Spectral Theory

Abstract

Each subset ENE\subset\Bbb N is realized as the set of essential values of the multiplicity function for the Koopman operator of an ergodic conservative infinite measure preserving transformation.

Keywords

Cite

@article{arxiv.0905.3486,
  title  = {Spectral multiplicities for infinite measure preserving transformations},
  author = {Alexandre I. Danilenko and Valery V. Ryzhikov},
  journal= {arXiv preprint arXiv:0905.3486},
  year   = {2010}
}

Comments

Minor gaps are corrected in this version

R2 v1 2026-06-21T13:04:38.684Z