The Theorem on Equiconvergence for the Integral Operator on Simplest Graph with Cycle

被引：2

作者：

Burlutskaya, M. Sh. ^{[1
]}

机构：

[1] Voronezh State Univ, Dept Math Anal, Voronezh, Russia

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2008年 / 8卷 / 04期

关键词：

integral operator; geometric graph; involution; the expansions in eigen and associated functions; equiconvergence;

D O I：

10.18500/1816-9791-2008-8-4-8-13

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with integral operators on the simplest geometric two-edge graph containing the cycle. The class of integral operators with range of values satisfying continuity condition into internal node of graph is described. The equiconvergence of expansions in eigen and adjoint functions and trigonometric Fourier series is established.

引用

页码：8 / 13

页数：6

共 50 条

[21] The Simplest Tauberian Theorem
A. F. Grishin
Mathematical Notes, 2003, 74 : 212 - 219
[22] The simplest tauberian theorem
Grishin, AF
MATHEMATICAL NOTES, 2003, 74 (1-2) : 212 - 219
[23] EQUICONVERGENCE THEOREM FOR CLASS OF SINGULAR DIFFERENTIAL OPERATORS
FREILING, G
MATHEMATISCHE ZEITSCHRIFT, 1977, 153 (03) : 255 - 265
[24] ON LOCAL UNIFORM EQUICONVERGENCE RATE FOR THE DIRAC OPERATOR
Kurbanov, Vali M.
Abdullayeva, Afsana M.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2020, 46 (01): : 16 - 31
[25] Perturbation of Threshold of the Essential Spectrum of the Schrödinger Operator on the Simplest Graph with a Small Edge
Borisov D.I.
Konyrkulzhaeva M.N.
Journal of Mathematical Sciences, 2019, 239 (3) : 248 - 267
[26] ON WALSH EQUICONVERGENCE THEOREM AND THE APPLICATION OF SUMMABILITY METHODS
BRUCK, R
ARCHIV DER MATHEMATIK, 1994, 62 (04) : 321 - 330
[27] Equiconvergence. A generalization of the Tamarkin—Stone theorem
A. M. Minkin
Mathematical Notes, 1997, 62 : 789 - 791
[28] A restriction theorem for oscillatory integral operator with certain polynomial phase
Xu, Shaozhen
Yan, Dunyan
FRONTIERS OF MATHEMATICS IN CHINA, 2017, 12 (04) : 967 - 980
[29] A restriction theorem for oscillatory integral operator with certain polynomial phase
Shaozhen Xu
Dunyan Yan
Frontiers of Mathematics in China, 2017, 12 : 967 - 980
[30] A DIFFERENTIAL SANDWICH THEOREM FOR ANALYTIC FUNCTIONS DEFINED BY THE INTEGRAL OPERATOR
Cotirla, Luminita-Ioana
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2009, 54 (02): : 13 - 21

← 1 2 3 4 5 →