REGULARIZED DETERMINANTS FOR PSEUDODIFFERENTIAL-OPERATORS IN VECTOR-BUNDLES OVER S(1)

被引：10

作者：

BURGHELEA, D

FRIEDLANDER, L

KAPPELER, T

机构：

[1] OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210

[2] UNIV ARIZONA,DEPT MATH,TUCSON,AZ 85721

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1993年 / 16卷 / 04期

关键词：

MSC1991:; Primary; 34L05; Secondary; 35S05;

D O I：

10.1007/BF01205290

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We express the zeta-regularized determinant of an elliptic pseudodifferential operator A over S1 with strongly invertible principal symbol in terms of the Fredholm determinant of an operator of determinant class, canonically associated to A, and local invariants. These invariants are given by explicit formulae involving the principal and subprincipal symbol of the operator. We remark that, generically, elliptic pseudodifferential operators have a strongly invertible principal symbol.

引用

页码：496 / 513

页数：18

共 9 条

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BURGHELEA, D ;

FRIEDLANDER, L ;

KAPPELER, T .

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[No title captured]

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