The Asymptotics of Eigenvalues and Eigenfunctions and a Trace Formula for a Potential with Delta Functions

被引：0

作者：

V. A. Vinokurov

V. A. Sadovnichii

机构：

[1] Moscow State University,

来源：

Differential Equations | 2002年 / 38卷

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation; Delta Function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

下载

页码：772 / 789

页数：17

共 50 条

[21] UNIVERSAL POTENTIAL EIGENFUNCTIONS AND EIGENVALUES FOR SELENIUM ATOM
GASPAR, R
ACTA PHYSICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1965, 18 (04): : 371 - &
[22] Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary-value problem on a segment with a summable potential
Vinokurov, VA
Sadovnichii, VA
IZVESTIYA MATHEMATICS, 2000, 64 (04) : 695 - 754
[23] ESTIMATION OF THE EIGENVALUES AND THE INTEGRAL OF THE EIGENFUNCTIONS OF THE NEWTONIAN POTENTIAL OPERATOR
Alsenafi, Abdulaziz
Ghandriche, Ahcene
Sini, Mourad
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (10) : 4379 - 4392
[24] The dixmier trace and asymptotics of zeta functions
Carey, Alan L.
Rennie, Adam
Sedaev, Aleksandr
Sukochev, Fyodor
JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 249 (02) : 253 - 283
[25] Arbitrary-order asymptotics of the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem with integrable potential on a closed interval
Vinokurov, VA
Sadovnichii, VA
DIFFERENTIAL EQUATIONS, 1998, 34 (10) : 1425 - 1429
[26] Kuzmetsov trace formula and weighted distribution of Hecke eigenvalues
Li, CCC
JOURNAL OF NUMBER THEORY, 2004, 104 (01) : 177 - 192
[27] An exact trace formula and zeta functions for an infinite quantum graph with a non-standard Weyl asymptotics
Endres, Sebastian Egger Ne
Steiner, Frank
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (18)
[28] On the Eigenvalues and Eigenfunctions of the Sturm--Liouville Operator with a Singular Potential
A. M. Savchuk
Mathematical Notes, 2001, 69 : 245 - 252
[29] On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential
Savchuk, AM
MATHEMATICAL NOTES, 2001, 69 (1-2) : 245 - 252
[30] Heat trace asymptotics with singular weight functions
Van den Berg, M.
Gilkey, P.
Kirsten, K.
Seeley, R.
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2009, 17 (03) : 529 - 563

← 1 2 3 4 5 →