Transfer operators acting on Zygmund functions

DOI10.1090/S0002-9947-96-01599-1zbMath0856.47004MaRDI QIDQ4889973

Viviane Baladi, Oscar E. III Lanford, Yunping Jiang

Publication date: 1996

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

weightsessential spectral radiusZygmund functionstransfer-type operators

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Low-dimensional dynamical systems (37E99)

Related Items (4)

Thermodynamical and spectral phase transition for local diffeomorphisms in the circle ⋮ Ruelle operator theorem for non-expansive systems ⋮ Correction to: ``The quest for the ultimate anisotropic Banach space ⋮ Ruelle operator with weakly contractive iterated function systems

Cites Work

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• An extension of the theory of Fredholm determinants
• The thermodynamic formalism for expanding maps
• On the rate of convergence to equilibrium in one-dimensional systems
• Meromorphic extensions of generalised zeta functions
• On the essential spectrum of the transfer operator for expanding Markov maps
• Expanding direction of the period doubling operator
• Ordinary differential equations and quasiconformal mappings
• Sharp determinants
• Smooth functions
• Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval
• The flat-trace asymptotics of a uniform system of contractions
• Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems
• The radius of the essential spectrum

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