Smeared heat-kernel coefficients on the ball and generalized cone

Authors
Dowker, JS Kirsten, K
Citation
Js. Dowker et K. Kirsten, Smeared heat-kernel coefficients on the ball and generalized cone, J MATH PHYS, 42(1), 2001, pp. 434-452
Citations number
34
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
1
Year of publication
2001
Pages
434 - 452
Database
ISI
SICI code
0022-2488(200101)42:1<434:SHCOTB>2.0.ZU;2-9
Abstract
We consider smeared zeta functions and heat-kernel coefficients on the boun ded, generalized cone in arbitrary dimensions. The specific case of a ball is analyzed in detail and used to restrict the form of the heat-kernel coef ficients A(n) on smooth manifolds with boundary. Supplemented by conformal transformation techniques, it is used to provide an effective scheme for th e calculation of the A(n). As an application, the complete A(5/2) coefficie nt is given. (C) 2001 American Institute of Physics.