An Extension of the Theory of Fredholm Determinants
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de B. Helffer, J. Sjöstrand, D. Ruelle et J. Fritz, Tome 40 (1989), Exposé no. 3, 26 p. 
@article{RCP25_1989__40__28_0,
     author = {Ruelle, David},
     title = {An {Extension} of the {Theory} of {Fredholm} {Determinants}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:3},
     pages = {28--53},
     year = {1989},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {40},
     language = {en},
     url = {https://www.numdam.org/item/RCP25_1989__40__28_0/}
}
TY  - JOUR
AU  - Ruelle, David
TI  - An Extension of the Theory of Fredholm Determinants
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:3
PY  - 1989
SP  - 28
EP  - 53
VL  - 40
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - https://www.numdam.org/item/RCP25_1989__40__28_0/
LA  - en
ID  - RCP25_1989__40__28_0
ER  - 
%0 Journal Article
%A Ruelle, David
%T An Extension of the Theory of Fredholm Determinants
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:3
%D 1989
%P 28-53
%V 40
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U https://www.numdam.org/item/RCP25_1989__40__28_0/
%G en
%F RCP25_1989__40__28_0
Ruelle, David. An Extension of the Theory of Fredholm Determinants. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de B. Helffer, J. Sjöstrand, D. Ruelle et J. Fritz, Tome 40 (1989), Exposé no. 3, 26 p.. https://www.numdam.org/item/RCP25_1989__40__28_0/

[1] V. Baladi and G. Keller, Zeta functions and transfer operators for piecewise monotone transformations, preprint. | Zbl | MR

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

[3] D. Fried, The zeta functions of Ruelle and Selberg I., Ann. Sci. E.N.S. 19, 491-517 (1986). | 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, 319-384 (1956). | Zbl | MR | Numdam

[6] N. Haydn, Meromorphic extension of the zeta function for Axiom A flows, preprint. | Zbl | MR

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

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

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

[10] F. Riesz et B. Sz-Nagy, Leçons d'analyse fonctionelle, 3 ième ed. Académie des Sciences de Hongrie, 1955. | Zbl

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

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

[13] D. Ruelle, The thermodynamic formalism for expanding maps, Commun. Math. Phys., to appear. | Zbl | MR

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

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