Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform

Masato Tsujii

doi:10.1017/S0143385711000605

Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform

Masato Tsujii

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

Abstract

This paper is about spectral properties of transfer operators for contact Anosov flows. The main result gives the essential spectral radii of the transfer operators acting on an appropriate function space exactly and improves the previous result in Tsujii [Quasi-compactness of transfer operators for contact Anosov flows. Nonlinearity 23 (2010), 1495-1545]. Also, we provide a simplified proof by using the so-called Fourier-Bros-Iagolnitzer (FBI) (or Bargmann) transform.

Original language	English
Pages (from-to)	2083-2118
Number of pages	36
Journal	Ergodic Theory and Dynamical Systems
Volume	32
Issue number	6
DOIs	https://doi.org/10.1017/S0143385711000605
Publication status	Published - Dec 2012

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Access to Document

10.1017/S0143385711000605

Cite this

@article{f1e9abf785cb43b9b1fc0811640f275f,

title = "Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform",

abstract = "This paper is about spectral properties of transfer operators for contact Anosov flows. The main result gives the essential spectral radii of the transfer operators acting on an appropriate function space exactly and improves the previous result in Tsujii [Quasi-compactness of transfer operators for contact Anosov flows. Nonlinearity 23 (2010), 1495-1545]. Also, we provide a simplified proof by using the so-called Fourier-Bros-Iagolnitzer (FBI) (or Bargmann) transform.",

author = "Masato Tsujii",

year = "2012",

month = dec,

doi = "10.1017/S0143385711000605",

language = "English",

volume = "32",

pages = "2083--2118",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "6",

}

TY - JOUR

T1 - Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform

AU - Tsujii, Masato

PY - 2012/12

Y1 - 2012/12

N2 - This paper is about spectral properties of transfer operators for contact Anosov flows. The main result gives the essential spectral radii of the transfer operators acting on an appropriate function space exactly and improves the previous result in Tsujii [Quasi-compactness of transfer operators for contact Anosov flows. Nonlinearity 23 (2010), 1495-1545]. Also, we provide a simplified proof by using the so-called Fourier-Bros-Iagolnitzer (FBI) (or Bargmann) transform.

AB - This paper is about spectral properties of transfer operators for contact Anosov flows. The main result gives the essential spectral radii of the transfer operators acting on an appropriate function space exactly and improves the previous result in Tsujii [Quasi-compactness of transfer operators for contact Anosov flows. Nonlinearity 23 (2010), 1495-1545]. Also, we provide a simplified proof by using the so-called Fourier-Bros-Iagolnitzer (FBI) (or Bargmann) transform.

UR - http://www.scopus.com/inward/record.url?scp=84868577127&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84868577127&partnerID=8YFLogxK

U2 - 10.1017/S0143385711000605

DO - 10.1017/S0143385711000605

M3 - Article

AN - SCOPUS:84868577127

SN - 0143-3857

VL - 32

SP - 2083

EP - 2118

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 6

ER -

Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this