ZETA-FUNCTION DETERMINANT OF THE LAPLACE OPERATOR ON THE D-DIMENSIONAL BALL

Authors
BORDAG M GEYER B KIRSTEN K ELIZALDE E
Citation
M. Bordag et al., ZETA-FUNCTION DETERMINANT OF THE LAPLACE OPERATOR ON THE D-DIMENSIONAL BALL, Communications in Mathematical Physics, 179(1), 1996, pp. 215-234
Citations number
45
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
179
Issue
1
Year of publication
1996
Pages
215 - 234
Database
ISI
SICI code
0010-3616(1996)179:1<215:ZDOTLO>2.0.ZU;2-T
Abstract
We present a direct approach for the calculation of functional determi nants of the Laplace operator on balls. Dirichlet and Robin boundary c onditions are considered. Using this approach, formulas for any value of the dimension, D, of the ball, can be obtained quite easily. Explic it results are presented here for dimensions D = 2, 3, 4, 5 and 6.