Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness

Nonlinearity

Volumn 12, Issue 1, 1999, Pages 141-179

  Kitaev, A Yu ^a,b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032623269     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/1/008     Document Type: Article

References (10)

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2. Fried D 1998 Meromorphic zeta functions for analytic flows 1995 Commun. Math. Phys. 174 161-90
3. Gel'fand I M and Shilov G E 1964 Generalized Functions vol 1 (New York: Academic)
4. Haydn N 1990 Meromorphic extension of the zeta function for Axiom A flows Ergod. Theory Dynam. Syst. 10 347-60
5. Hörmander L 1983 The Analysis of Partial Differential Operators vol 1 (Berlin: Springer)
6. Nussbaum R D 1970 The radius of the essential spectrum Duke Math. J. 37 473-8
7. Ruelle D 1976 Zeta-functions for expanding maps and Anosov flows Inv. Math. 34 231-42
8. Ruelle D 1990 An extension of the theory of Fredholm determinants Publications Mathématiques no 72, pp 175-93
9. Rugh H H 1992 The correlation spectrum for hyperbolic analytic maps Nonlinearity 5 1237-63
10. Rugh H H 1996 Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems Ergod. Theory Dynam. Syst. 16 805-19