ON THE SPECTRAL REPRESENTATION OF ORDINARY SELF-ADJOINT DIFFERENTIAL OPERATORS

被引：5

作者：

CODDINGTON, EA

机构：

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1952年 / 38卷 / 08期

关键词：

D O I：

10.1073/pnas.38.8.732

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

引用

收藏

页码：732 / 737

页数：6

相关论文

共 12 条

[1] A BOUNDARY VALUE PROBLEM FOR A NONLINEAR DIFFERENTIAL EQUATION WITH A SMALL PARAMETER [J].

CODDINGTON, EA ;

LEVINSON, N .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (01) :73-81

[2] THE EIGENVALUE PROBLEM FOR ORDINARY DIFFERENTIAL EQUATIONS OF THE 2ND ORDER AND HEISENBERGS THEORY OF S-MATRICES [J].

KODAIRA, K .

AMERICAN JOURNAL OF MATHEMATICS, 1949, 71 (04) :921-945

[3] ON ORDINARY DIFFERENTIAL EQUATIONS OF ANY EVEN ORDER AND THE CORRESPONDING EIGENFUNCTION EXPANSIONS [J].

KODAIRA, K .

AMERICAN JOURNAL OF MATHEMATICS, 1950, 72 (03) :502-544

[4] A SIMPLIFIED PROOF OF THE EXPANSION THEOREM FOR SINGULAR 2ND ORDER LINEAR DIFFERENTIAL EQUATIONS [J].

LEVINSON, N .

DUKE MATHEMATICAL JOURNAL, 1951, 18 (01) :57-71

[5]

LEVITAN BM, 1950, DOKL AKAD NAUK SSSR, V73, P651

[6] The perturbation theory of spectral decomposition. II. Report. Constant dependence of the spectral crowd on a parameter. [J].

Rellich, F .

MATHEMATISCHE ANNALEN, 1937, 113 :677-685

[7]

RELLICH F, 1942, ERGEB MATH, V5, P56

[8]

STONE MH, 1932, AM MATH SOC C PUBLIC

[9]

Titchmarsh E.C., 1946, EIGENFUNCTION EXPANS

[10]

von Neumann J, 1930, MATH ANN, V102, P49