The Quest for the Ultimate Anisotropic Banach Space

We present a new scale U p t , s ( s < - t < 0 and 1 ≤ p < ∞ ) of anisotropic Banach spaces, defined via Paley–Littlewood, on which the transfer operator L g φ = ( g · φ ) ∘ T - 1 associated to a hyperbolic dynamical system T has good spectral properties. When p = 1 and t is an integer, the...

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Bibliographic Details
Published in:	Journal of statistical physics Vol. 166; no. 3-4; pp. 525 - 557
Main Author:	Baladi, Viviane
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.02.2017 Springer Springer Nature B.V Springer Verlag
Series:	Special Issue: Dedicated to David Ruelle & Yakov Sinai
Subjects:	ANISOTROPY BANACH SPACE Banach spaces CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DECOMPOSITION DYNAMICAL SYSTEMS GEOMETRY Mathematical and Computational Physics Mathematics Nuclear energy NUCLEAR POWER Operators (mathematics) Physical Chemistry Physics Physics and Astronomy Quantum Physics Statistical Physics and Dynamical Systems Theoretical Piecewise Smooth Systems Essential Spectral Radius 2-microlocal Spaces Bunching Conditions Anisotropic Space hyperbolic dynamics transfer operator spectrum anisotropic Banach space
ISSN:	0022-4715, 1572-9613
Online Access:	Get full text
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