An Extension of the Theory of Fredholm Determinants

David Ruelle

Recherche Coopérative sur Programme n°25 (1989)

  • Volume: 40, page 28-53

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Ruelle, David. "An Extension of the Theory of Fredholm Determinants." Recherche Coopérative sur Programme n°25 40 (1989): 28-53. <http://eudml.org/doc/274818>.

@article{Ruelle1989,
author = {Ruelle, David},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {28-53},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {An Extension of the Theory of Fredholm Determinants},
url = {http://eudml.org/doc/274818},
volume = {40},
year = {1989},
}

TY - JOUR
AU - Ruelle, David
TI - An Extension of the Theory of Fredholm Determinants
JO - Recherche Coopérative sur Programme n°25
PY - 1989
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 40
SP - 28
EP - 53
LA - eng
UR - http://eudml.org/doc/274818
ER -

References

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  2. [2] R. Bowen, Markov positions for Axiom A diffeomorphisms, Trans. Amer. Math. Soc.154, 377-397 (1971). Zbl0212.29103MR282372
  3. [3] D. Fried, The zeta functions of Ruelle and Selberg I., Ann. Sci. E.N.S.19, 491-517 (1986). Zbl0609.58033MR875085
  4. [4] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Memoirs of the Amer. Math. Soc.16, Providence, RI, 1955. Zbl0064.35501MR75539
  5. [5] A. Grothendieck, La théorie de Fredholm, Bull. Soc. Math. France84, 319-384 (1956). Zbl0073.10101MR88665
  6. [6] N. Haydn, Meromorphic extension of the zeta function for Axiom A flows, preprint. Zbl0694.58035MR1062762
  7. [7] D. Mayer, On a ζ function related to the continued fraction transformation, Bull. Soc. Math. France104, 195-203 (1976). Zbl0328.58011MR418168
  8. [8] R. D. Nussbaum, The radius of the essential spectrum, Duke Math. J.37, 473-478 (1970). Zbl0216.41602MR264434
  9. [9] M. Pollicott, A complex Ruelle-Perron-Frobenius theorem and two counterexamples, Ergod. Th. and Dynam. Syst.4, 135-146 (1984). Zbl0575.47009MR758899
  10. [10] F. Riesz et B. Sz-Nagy, Leçons d'analyse fonctionelle, 3 ième ed. Académie des Sciences de Hongrie, 1955. Zbl0046.33103
  11. [11] D. Ruelle, Zeta-functions for expanding maps and Anosov flows. Inventiones Math.34, 231-242 (1976). Zbl0329.58014MR420720
  12. [12] D. Ruelle, Thermodynamic Formalism, Encyclopedia of Math and its Appl.5, Addison-Wesley, Reading, Massachusetts, 1978. Zbl0401.28016MR511655
  13. [13] D. Ruelle, The thermodynamic formalism for expanding maps, Commun. Math. Phys., to appear. Zbl0702.58056MR1016871
  14. [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). Zbl0194.22602MR250352
  15. [15] F. Tangerman, Meromorphic continuation of Ruelle zeta functions, Boston University Thesis, 1986 (unpublished). 

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