Analytic functions are introduced, which are analogous to the Fredholm determinant, but may have only finite radius of convergence. These functions are associated with operators of the form ε μ(dω) ℒω, where ℒω φ(x) = φ{symbol}ω(x). φ(ψω x),, φ belongs to a space of Hölder or Cr functions, φ{symbol}ω is Hölder or Cr, and ψω is a contraction or a Cr contraction. The results obtained extend earlier results by Haydn, Pollicott, Tangerman and the author on zeta functions of expanding maps. © 1990 Publications Mathématiques de L'I.É.E.S.
CITATION STYLE
Ruelle, D. (1990). An extension of the theory of Fredholm determinants. Publications Mathématiques de l’Institut Des Hautes Scientifiques, 72(1), 175–193. https://doi.org/10.1007/BF02699133
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