An extension of the theory of Fredholm determinants

DOI10.1007/BF02699133zbMath0732.47003MaRDI QIDQ808396

Publication date: 1990

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1990__72__175_0

zbMATH Keywords

resolvent integral operators Fredholm's determinant theory quotient of an operator-valued entire function

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38)

Related Items (52)

Ruelle operators with rational weights for Julia sets ⋮ Correlations of length spectra for negatively curved manifolds ⋮ A counting result on two-dimension with error terms ⋮ A dynamical approach to accelerating numerical integration with equidistributed points ⋮ Ruelle transfer operators with two complex parameters and applications ⋮ One-dimensional maps via complex analysis in several variables ⋮ Semigroup actions of expanding maps ⋮ Spectral properties of a class of operators associated with maps in one dimension ⋮ Regularity of characteristic exponents and linear response for transfer operator cocycles ⋮ A geometric approach to the cascade approximation operator for wavelets ⋮ Sharp determinants ⋮ The spectrum of weakly coupled map lattices ⋮ Cohomology equations near hyperbolic points and geometric versions of Sternberg linearization theorem ⋮ Distribution of periods of closed trajectories in exponentially shrinking intervals ⋮ Distribution of cycles for one-dimensional random dynamical systems ⋮ Simultaneous action of finitely many interval maps: some dynamical and statistical properties ⋮ Zeta functions in higher Teichmüller theory ⋮ Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds ⋮ Compactness of transfer operators and spectral representation of Ruelle zeta functions for super-continuous functions ⋮ Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions ⋮ Discontinuities cause essential spectrum ⋮ The flat-trace asymptotics of a uniform system of contractions ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4342900 Ensembles invariants pour un op�rateur de transfert dans ? d] ⋮ Spectral decomposition of expanding probabilistic dynamical systems ⋮ Spectral decomposition of the tent maps and the isomorphism of dynamical systems ⋮ Transfer operators acting on Zygmund functions ⋮ Spectral characterization of anomalous diffusion of a periodic piecewise linear intermittent map ⋮ Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems ⋮ Periodic points of Ruelle-expanding maps ⋮ Spectra of expanding maps on Besov spaces ⋮ A regularity result for fixed points, with applications to linear response ⋮ Spectral properties of a class of operators associated with conformal maps in two dimensions ⋮ Expanding maps on Cantor sets and analytic continuation of zeta functions ⋮ The spectral radius of matrix continuous refinement operators ⋮ Bifurcations of stationary measures of random diffeomorphisms ⋮ Orthonormal expansions of invariant densities for expanding maps ⋮ Precise counting results for closed orbits of Anosov flows ⋮ How smooth is your wavelet? Wavelet regularity via thermodynamic formalism ⋮ On the spectral radius of convolution dilation operators ⋮ Rigged Hilbert spaces for chaotic dynamical systems ⋮ Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map ⋮ Uniform congruence counting for Schottky semigroups in \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Statistics of multipliers for hyperbolic rational maps ⋮ Ruelle spectrum of linear pseudo-Anosov maps ⋮ Decay of correlations for piecewise expanding maps. ⋮ On the spectra of randomly perturbed expanding maps ⋮ Locating Ruelle–Pollicott resonances* ⋮ Spectra of subdivision operators ⋮ Correlations for pairs of closed geodesics ⋮ An analytical construction of the SRB measures for Baker-type maps ⋮ Spectral decomposition of piecewise linear monotonic maps. ⋮ Prime number theorems and holonomies for hyperbolic rational maps

Cites Work

This page was built for publication: An extension of the theory of Fredholm determinants