Robin conditions on the Euclidean ball

Classical and Quantum Gravity

Volumn 13, Issue 4, 1996, Pages 585-610

  Dowker, J S ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344439764     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/13/4/003     Document Type: Article

References (35)

1. 2u = 0 (Leipzig: Teubner)
2. Carslaw H S and Jaeger J C 1959 The conduction of heat in solids (Oxford: Clarendon)
3. Schleich K 1985 Phys. Rev. D 32 1989
4. Louko J 1988 Phys. Rev. D 38 478
5. D'Eath P D and Esposito G V M 1991 Phys. Rev. D 43 3234
6. Esposito G 1994 Quantum Gravity, Quantum Cosmology and Lorentzian Geometry (Lecture Notes in Physics) vol m12 (Berlin: Springer)
7. Kamenshchik Yu A and Mishakov I V 1993 Phys. Rev. D 47 1380
8. Kamenshchik Yu A and Mishakov I V 1992 Int. J. Mod. Phys. A 7 3265
9. Barvinsky A O, Kamenshchik Yu A and Karmazin I P 1992 Ann. Phys., NY 219 201
10. Bordag M, Geyer B, Kirsten K and Elizalde E 1995 Zeta function determinant of the Laplace operator on the D-dimensional ball Commun. Math. Phys. to appear
11. Whittaker E T and Watson G M 1927 A Course in Modern Analysis (Cambridge: Cambridge University Press)
12. Lord Rayleigh 1877 Theory of Sound vols I and II (London: MacMillan) p 78
13. Watson G N 1944 Theory of Bessel Functions (Cambridge: Cambridge University Press)
14. Dikii L A 1958 Usp. Mat. Nauk. 13 111
15. Voros A 1987 Commun. Math. Phys. 110 110
16. Moss I 1989 Class. Quantum Grav. 6 659
17. Dowker J S and Critchley R 1976 Phys. Rev. D 13 3224
18. Elizalde E 1994 J. Math. Phys. 36 3308
19. Magnus W and Oberhettinger F 1948 Formeln und Sätze (Berlin: Springer)
20. Erdelyi A, Magnus W, Oberhettinger F and Tricomi F G 1953 Higher Transcendental Functions vol I (New York: McGraw-Hill)
21. Olver F W J 1954 Phil. Trans. R. Soc. A 247 328
22. Hurt N E 1983 Geometric Quantization in Action (Dordrecht: Reidel)
23. Stewartson K and Waechter R T 1971 Proc. Camb. Phil. Soc. 69 353
24. Berry M V and Howls C J 1994 Proc. R. Soc. A 447 527
25. Kennedy G 1978 J. Phys. A: Math. Gen. 11 L173
26. Bordag M, Elizalde E and Kirsten K 1996 J. Math. Phys. 37 895
27. Quine J R, Heydan S H and Song R Y 1993 Trans. Am. Math. Soc. 338 213
28. Jorgenson J and Lang S 1993 Lecture Notes in Mathematics (Berlin: Springer) p 1564
29. Weisberger W I 1987 Commun. Math. Phys. 112 633
30. Watson G N 1931 Quart. J. Math. 2 300
31. H Kober 1935 Math. Z. 39 609
32. Barnes E W 1903 Trans. Camb. Phil. Soc. 19 426
33. Dowker J S and Apps J S 1995 Class. Quantum Grav. 12 1363
34. Elizalde E, Leseduarte S and Zerbini S Preprint hep-th/9303126
35. Elizalde E and Romeo A 1994 Int. J. Math. Phys. 13 453