Regularized traces and Taylor expansions for the heat semigroup

被引：21

作者：

Hitrik, M ^{[1
]}

Polterovich, I

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Math Sci Res Inst, Berkeley, CA 94720 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2003年 / 68卷

关键词：

D O I：

10.1112/S0024610703004538

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The coefficients in asymptotics of regularized traces and associated trace (spectral) distributions for Schrodinger operators with short and long range potentials are computed. A kernel expansion for. the Schrodinger semigroup is derived, and a connection with non-commutative Taylor formulas is established.

引用

页码：402 / 418

页数：17

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