A trace formula for canonical differential expressions

被引：4

作者：

Alpay, D

Gohberg, I

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[2] Tel Aviv Univ, Sch Math Sci, Raymond & Beverly Sackler Fac Exact Sci, IL-69989 Ramat Aviv, Israel

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2003年 / 197卷 / 02期

关键词：

D O I：

10.1016/S0022-1236(02)00083-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a trace formula for pairs of self-adjoint operators associated to canonical differential expressions. An important role is played by the associated Weyl function. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：489 / 525

页数：37

共 36 条

[11] THEORY OF REPRODUCING KERNELS [J].

ARONSZAJN, N .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 68 (MAY) :337-404

[12]

Brodskii M. S., 1971, TRANSLATIONS MATH MO, V32

[13] PERTURBATIONS OF SELF-ADJOINT TRANSFORMATIONS [J].

DEBRANGES, L .

AMERICAN JOURNAL OF MATHEMATICS, 1962, 84 (04) :543-&

[14] PERTURBATIONS OF UNITARY TRANSFORMATIONS [J].

DEBRANGES, L ;

SHULMAN, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 23 (02) :294-+

[15] PERTURBATION-THEORY [J].

DEBRANGES, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 57 (02) :393-415

[16]

DEBRANGES L, 1972, ESPACES HILBERTIENS

[17]

Dym H., 1976, PROBABILITY MATH STA, V31

[18]

DYM H, 1987, C BOARD MATH SCI WAS

[19]

DYM H, 1984, OPERATOR THEORY ADV, V12, P141

[20] Pseudo-canonical systems with rational Weyl functions: Explicit formulas and applications [J].

Gohberg, I ;

Kaashoek, MA ;

Sakhnovich, AL .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 146 (02) :375-398

← 1 2 3 4 →