English

On the Ruelle eigenvalue sequence

Dynamical Systems 2008-02-12 v1 Functional Analysis

Abstract

For certain real analytic data, we show that the eigenvalue sequence of the associated transfer operator L is insensitive to the holomorphic function space on which L acts. Explicit bounds on this eigenvalue sequence are established.

Cite

@article{arxiv.0802.1468,
  title  = {On the Ruelle eigenvalue sequence},
  author = {Oscar F. Bandtlow and Oliver Jenkinson},
  journal= {arXiv preprint arXiv:0802.1468},
  year   = {2008}
}

Comments

9 pages, to appear in Ergod. Th. & Dyn. Sys.

R2 v1 2026-06-21T10:11:33.863Z