THE SPECTRAL REPRESENTATION OF ORDINARY SELF-ADJOINT DIFFERENTIAL OPERATORS

被引：37
作者：
CODDINGTON, EA
机构：
来源：
ANNALS OF MATHEMATICS | 1954年 / 60卷 / 01期
关键词：
D O I：
10.2307/1969705
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
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页码：192 / 211
页数：20
相关论文
共 13 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]   ON THE SPECTRAL REPRESENTATION OF ORDINARY SELF-ADJOINT DIFFERENTIAL OPERATORS [J].
CODDINGTON, EA .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1952, 38 (08) :732-737
[3]   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
[4]   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
[5]   ADDENDUM TO A SIMPLIFIED PROOF OF THE EXPANSION THEOREM FOR SINGULAR 2ND ORDER LINEAR DIFFERENTIAL EQUATIONS [J].
LEVINSON, N .
DUKE MATHEMATICAL JOURNAL, 1951, 18 (03) :719-722
[6]   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
[7]  
LEVITAN BM, 1950, C R DOKLADY AKAD SCI, V73, P651
[8]  
NAGY BV, 1942, ERGEB MATH, V5
[9]  
NAIMARK MA, 1952, DOKL AKAD NAUK SSSR+, V82, P517
[10]  
STONE MH, 1932, AM MATH SOC C PUBLIC
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