@article{PMIHES_1990__72__175_0, author = {Ruelle, David}, title = {An extension of the theory of {Fredholm} determinants}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {175--193}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {72}, year = {1990}, mrnumber = {1087395}, zbl = {0732.47003}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1990__72__175_0/} }
TY - JOUR AU - Ruelle, David TI - An extension of the theory of Fredholm determinants JO - Publications Mathématiques de l'IHÉS PY - 1990 SP - 175 EP - 193 VL - 72 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1990__72__175_0/ LA - en ID - PMIHES_1990__72__175_0 ER -
Ruelle, David. An extension of the theory of Fredholm determinants. Publications Mathématiques de l'IHÉS, Tome 72 (1990), pp. 175-193. http://archive.numdam.org/item/PMIHES_1990__72__175_0/
[1] Zeta functions and transfer operators for piecewise monotone transformations, Commun. Math. Phys., 127 (1990), 459-477. | MR | Zbl
and ,[2] Markov positions for Axiom A diffeomorphisms, Trans. Amer. Math. Soc., 154 (1971), 377-397. | MR | Zbl
,[3] The zeta functions of Ruelle and Selberg, I., Ann. Sci. E.N.S., 19 (1986), 491-517. | Numdam | MR | Zbl
,[4] Produits tensoriels topologiques et espaces nucléaires, Memoirs of the Amer. Math. Soc., 16, Providence, RI, 1955. | MR | Zbl
,[5] La théorie de Fredholm, Bull. Soc. Math. France, 84 (1956), 319-384. | Numdam | MR | Zbl
,[6] Meromorphic extension of the zeta function for Axiom A flows, Ergod. Th. and Dynam. Syst., 10 (1990), 347-360. | MR | Zbl
,[7] On a ζ function related to the continued fraction transformation, Bull. Soc. Math. France, 104 (1976), 195-203. | Numdam | MR | Zbl
,[8] The radius of the essential spectrum, Duke Math. J., 37 (1970), 473-478. | MR | Zbl
,[9] A complex Ruelle-Perron-Frobenius theorem and two counterexamples, Ergod. Th. and Dynam. Syst., 4 (1984), 135-146. | MR | Zbl
,[10] Leçons d'analyse fonctionnelle, 3e éd., Académie des Sciences de Hongrie, 1955. | MR | Zbl
et ,[11] Zeta-functions for expanding maps and Anosov flows, Inventiones Math., 34 (1976), 231-242. | MR | Zbl
,[12] Thermodynamic Formalism, Encyclopedia of Math and its Appl., 5, Addison-Wesley, Reading, Massachussetts, 1978. | MR | Zbl
,[13] The thermodynamic formalism for expanding maps, Commun. Math. Phys., 125 (1989), 239-262. | MR | Zbl
,[14] 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] Meromorphic continuation of Ruelle zeta functions, Boston University Thesis, 1986 (unpublished).
,