Zeta function and regularized determinant on a disc and on a cone

被引：32
|
作者：
Spreafico, A [1 ]
机构：
[1] Univ Sao Paulo, ICMC, BR-13560970 Sao Carlos, SP, Brazil
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2005年 / 54卷 / 03期
关键词：
zeta function; elliptic operators; regularization;
D O I：
10.1016/j.geomphys.2004.10.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give formulas for the analytic extension of the zeta function of the induced Laplacian L on a disc and on a cone. This allows the explicit computation of the value of the zeta function and of its derivative at the origin, and hence we get a formula for the regularized determinant of L. (c) 2004 Elsevier B.V. All rights reserved.
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页码：355 / 371
页数：17
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