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An extension of the theory of Fredholm determinants
Publications Mathématiques de l'IHÉS, Volume 72 (1990), pp. 175-193
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DOI: 10.1007/BF02699133 
@article{PMIHES_1990__72__175_0,
     author = {David Ruelle},
     title = {An extension of the theory of {Fredholm} determinants},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {175--193},
     year = {1990},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {72},
     doi = {10.1007/BF02699133},
     mrnumber = {1087395},
     zbl = {0732.47003},
     language = {en},
     url = {https://pmihes.centre-mersenne.org/articles/10.1007/BF02699133/}
}
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David Ruelle. An extension of the theory of Fredholm determinants. Publications Mathématiques de l'IHÉS, Volume 72 (1990), pp. 175-193. doi: 10.1007/BF02699133

[1] V. Baladi and G. Keller, Zeta functions and transfer operators for piecewise monotone transformations, Commun. Math. Phys., 127 (1990), 459-477. | Zbl | MR

[2] R. Bowen, Markov positions for Axiom A diffeomorphisms, Trans. Amer. Math. Soc., 154 (1971), 377-397. | Zbl | MR

[3] D. Fried, The zeta functions of Ruelle and Selberg, I., Ann. Sci. E.N.S., 19 (1986), 491-517. | Zbl | MR | Numdam

[4] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Memoirs of the Amer. Math. Soc., 16, Providence, RI, 1955. | Zbl | MR

[5] A. Grothendieck, La théorie de Fredholm, Bull. Soc. Math. France, 84 (1956), 319-384. | Zbl | MR | Numdam

[6] N. Haydn, Meromorphic extension of the zeta function for Axiom A flows, Ergod. Th. and Dynam. Syst., 10 (1990), 347-360. | Zbl | MR

[7] D. Mayer, On a ζ function related to the continued fraction transformation, Bull. Soc. Math. France, 104 (1976), 195-203. | Zbl | MR | Numdam

[8] R. D. Nussbaum, The radius of the essential spectrum, Duke Math. J., 37 (1970), 473-478. | Zbl | MR

[9] M. Pollicott, A complex Ruelle-Perron-Frobenius theorem and two counterexamples, Ergod. Th. and Dynam. Syst., 4 (1984), 135-146. | Zbl | MR

[10] F. Riesz et B. Sz-Nagy, Leçons d'analyse fonctionnelle, 3e éd., Académie des Sciences de Hongrie, 1955. | Zbl | MR

[11] D. Ruelle, Zeta-functions for expanding maps and Anosov flows, Inventiones Math., 34 (1976), 231-242. | Zbl | MR

[12] D. Ruelle, Thermodynamic Formalism, Encyclopedia of Math and its Appl., 5, Addison-Wesley, Reading, Massachussetts, 1978. | Zbl | MR

[13] D. Ruelle, The thermodynamic formalism for expanding maps, Commun. Math. Phys., 125 (1989), 239-262. | Zbl | MR

[14] Ia. G. Sinai, Construction of Markov partitions, Funkts. Analiz i ego Pril., 2, No. 3 (1968), 70-80. English translation: Functional Anal. Appl., 2 (1968), 245-253. | Zbl

[15] F. Tangerman, Meromorphic continuation of Ruelle zeta functions, Boston University Thesis, 1986 (unpublished).

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