THE EIGENFUNCTION EXPANSION THEOREM FOR THE GENERAL SELF-ADJOINT SINGULAR ELLIPTIC PARTIAL DIFFERENTIAL OPERATOR .1. THE ANALYTICAL FOUNDATION

被引：21

作者：

BROWDER, FE

机构：

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1954年 / 40卷 / 06期

关键词：

D O I：

10.1073/pnas.40.6.454

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：454 / 459

页数：6

相关论文

共 11 条

[1] THE DIRICHLET AND VIBRATION PROBLEMS FOR LINEAR ELLIPTIC DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER
BROWDER, FE
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1952, 38 (08) : 741 - 747
[2] THE DIRICHLET PROBLEM FOR LINEAR ELLIPTIC EQUATIONS OF ARBITRARY EVEN ORDER WITH VARIABLE COEFFICIENTS
BROWDER, FE
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1952, 38 (03) : 230 - 235
[3] BROWDER FE, ANN MATH STUDY
[4] BROWDER FE, 1953, P NAS US, V38, P179
[5] BROWDER FE, 1953, P NAS US, V38, P185
[6] CARLEMAN T, 1934, ARK MAT ASTR FYS B, V24
[7] Spectral theory of semi-bound operators and use of the spectral analysis of differential operators.
Friedrichs, K
[J]. MATHEMATISCHE ANNALEN, 1934, 109 : 465 - 487
[8] Spectral theories of semi-restricted operators and its application in the spectral decomposition of differential operators. Second chapter.
Friedrichs, K
[J]. MATHEMATISCHE ANNALEN, 1934, 109 : 685 - 713
[9] ON ORDINARY DIFFERENTIAL EQUATIONS OF ANY EVEN ORDER AND THE CORRESPONDING EIGENFUNCTION EXPANSIONS
KODAIRA, K
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1950, 72 (03) : 502 - 544
[10] ON EIGENFUNCTION EXPANSIONS
MAUTNER, FI
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1953, 39 (01) : 49 - 53