About the spectrum and the trace formula for the operator Bessel equation

被引：4
作者：
Aslanova, N. M. [1 ]
机构：
[1] Azerbaijan Acad Sci, Inst Math & Mech, Baku, Azerbaijan
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2010年 / 51卷 / 04期
关键词：
Hilbert space; trace class operator; discrete spectrum; resolvent; regularized trace;
D O I：
10.1007/s11202-010-0059-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the asymptotics of the distribution function and compute the regularized trace of a boundary value problem for the operator-differential equation with the boundary value depending on a spectral parameter.
引用
收藏
页码：569 / 583
页数：15
相关论文
共 24 条
[1]  
ALBAYRAK I, 2000, METHODS FUNCT ANAL T, V6, P3
[2]  
Aliev B.A., 2006, UKR MATH J, V58, P1298, DOI DOI 10.1007/s11253-006-0134-1
[3]  
[Anonymous], LINEAR DIFFERENTIA 1
[4]  
[Anonymous], LINEAR DIFFERENTIA 2
[5]  
DIKII LA, 1953, SOV MATH DOKL, V8, P119
[6]  
DUBROVSKII VV, 1991, DIFF URAVN, V27, P2164
[7]  
GASHIMOV IF, CALCULATION REGULARI
[8]  
GASYMOV MG, 1963, SOV MATH DOKL, V4, P838
[9]  
Gelfand I. M., 1953, Dokl. Akad. Nauk SSSR, V88, P593
[10]  
Gorbachuk V. I, 1981, DIRECT INVERSE PROBL, P3
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