English

Transfer operators, atomic decomposition and the Bestiary

Dynamical Systems 2021-05-20 v2 Analysis of PDEs Classical Analysis and ODEs Functional Analysis

Abstract

Arbieto and S. recently used atomic decomposition to study transfer operators. We give a long list of old and new expanding dynamical systems for which those results can be applied, obtaining the quasi-compactness of transfer operator acting on Besov spaces of measure spaces with a good grid.

Keywords

Cite

@article{arxiv.1903.06976,
  title  = {Transfer operators, atomic decomposition and the Bestiary},
  author = {Daniel Smania},
  journal= {arXiv preprint arXiv:1903.06976},
  year   = {2021}
}

Comments

45 pages, 2 figures

R2 v1 2026-06-23T08:10:19.497Z