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.

引用

页码：355 / 371

页数：17

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