An Integer-Valued Version of the Birman-Krein Formula

被引：2
|
作者：
Pushnitski, A. B. [1 ]
机构：
[1] Kings Coll London, Dept Math, London, England
来源：
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2010年 / 44卷 / 04期
关键词：
Birman-Krein formula; spectral projections; index; scattering matrix; SPECTRAL SHIFT FUNCTION; H-LAMBDA-W; SCHRODINGER-OPERATORS; EIGENVALUE BRANCHES; GAPS; PROJECTIONS; SIGMA(H); BOUNDS; INDEX; FLOW;
D O I：
10.1007/s10688-010-0041-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An identity in abstract scattering theory is discussed. This identity can be interpreted as an integer-valued version of the Birman-Krein formula.
引用
收藏
页码：307 / 312
页数：6
相关论文
共 50 条
  • [1] An integer-valued version of the Birman—Krein formula
    A.B. Pushnitski
    Functional Analysis and Its Applications, 2010, 44 : 307 - 312
  • [2] The Birman-Krein formula for differential forms and electromagnetic scattering
    Strohmaier, Alexander
    Waters, Alden
    BULLETIN DES SCIENCES MATHEMATIQUES, 2022, 179
  • [3] On the Birman-Krein Theorem
    Bazao, Vanderlea R.
    de Oliveira, Cesar R.
    Diaz, Pablo A.
    COMPTES RENDUS MATHEMATIQUE, 2023, 361 (01) : 1081 - 1086
  • [4] LOCAL VERSION OF NULLSTELLENSATZ IN RINGS OF INTEGER-VALUED POLYNOMIALS
    BRIZOLIS, D
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A73 - A74
  • [5] ADMISSIBLE AND MINIMAX INTEGER-VALUED ESTIMATORS OF AN INTEGER-VALUED PARAMETER
    ROBSON, DS
    ANNALS OF MATHEMATICAL STATISTICS, 1958, 29 (03): : 801 - 812
  • [6] INTEGER-VALUED FUNCTION
    PECK, GW
    AMERICAN MATHEMATICAL MONTHLY, 1979, 86 (05): : 394 - 394
  • [7] TRIANGLES WITH INTEGER-VALUED SIDES
    MARSDEN, MJ
    AMERICAN MATHEMATICAL MONTHLY, 1974, 81 (04): : 373 - 376
  • [8] SEPARABLE INTEGER-VALUED PROBLEM
    DYMARSKIY, YS
    PRUDOVSKIY, BD
    STALBO, AK
    ENGINEERING CYBERNETICS, 1975, 13 (05): : 19 - 22
  • [9] INTEGER-VALUED CONTINUOUS FUNCTIONS
    SUBRAMANIAN, H
    BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1969, 97 (03): : 275 - +
  • [10] ON A CLASS OF INTEGER-VALUED FUNCTIONS
    RAUSCH, U
    ARCHIV DER MATHEMATIK, 1987, 48 (01) : 63 - 67
12345