Asymptotics of the heat kernel on rank-1 locally symmetric spaces

Journal of Physics A: Mathematical and General

Volumn 32, Issue 31, 1999, Pages 5773-5779

  Bytsenko, A A ^a   Williams, F L ^b  

^a STATE UNIVERSITY OF LONDRINA   (Brazil)

^b UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040122265     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/31/303     Document Type: Article

References (19)

1. Miatello R 1976 The Minakshisundaram-Pleijel coefficients for the vector-valued heat kernel on compact locally symmetric spaces of negative curvature PhD Thesis Rutgers University pp 1-126
2. Miatello R 1979 Manuscr. Math, 29 249-76
3. Miatello R 1980 Trans. Am. Math. Soc. 260 1-33
4. De Witt BS 1965 The Dynamical Theory of Groups and Fields (New York: Gordon and Breach)
5. Seeley R 1967 Complex powers of an elliptic operator Proc. Symp. Pure Math., Amer. Math. Soc. vol 10 pp 288-307
6. Atiyah M, Bott R and Patodi V K 1973 Invent. Math. 19 279-330 Atiyah M, Bott R and Patodi V K 1975 Invent. Math. 28 277-80 (erratum)
7. Atiyah M, Bott R and Patodi V K 1973 Invent. Math. 19 279-330 Atiyah M, Bott R and Patodi V K 1975 Invent. Math. 28 277-80 (erratum)
8. Moss I G and Dowker J S 1989 Phys. Lett. B 229 261-3
9. Branson T P and Gilkey P B 1990 Commun. Part. Diff. Eqns 15 245-72
10. Williams F 1998 Pacific J. Math. 182 137-56
11. Williams F 1997 J. Math. Phys. 38 796-808
12. Bytsenko A A and Williams F L 1997 J. Math. Phys. 39 1075-86
13. Bytsenko A A, Gonçalves A E and Williams F L 1998 Mod. Phys. Lett. A 13 99-108
14. Helgason S 1962 Differential Geometry and Symmetric Spaces, Pure and Applied Math. Ser. vol 12 (New York: Academic)
15. Minakshisundaram S and Pleijel A 1949 Can. J. Phys. 1 242-56
16. Randol B 1975 Trans. Am. Math. Soc. 201 241-6
17. Voros A 1987 Commun. Math. Phys. 110 439-65
18. Elizalde E, Odintsov S D, Romeo A, Bytsenko A A and Zerbini S 1994 Zeta Regularization with Applications (Singapore: World Scientific)
19. Bytsenko A A, Cognola G, Vanzo L and Zerbini S 1996 Phys. Rep. 266 1-126