New integral representations of the Maslov canonical operator in singular charts

被引：32

作者：

Dobrokhotov, S. Yu. ^{[1
]}

Nazaikinskii, V. E. ^{[1
]}

Shafarevich, A. I. ^{[1
,2
]}

机构：

[1] Moscow Inst Phys & Technol, Russian Acad Sci, Ishlinsky Inst Problems Mech, Moscow, Russia

[2] Moscow MV Lomonosov State Univ, Natl Res Ctr Kurchatov Inst, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2017年 / 81卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Maslov canonical operator; Fourier integral operator; integral representation; asymptotic formula; 2-DIMENSIONAL SCHRODINGER OPERATOR; STRONG MAGNETIC-FIELD; SPECTRAL SERIES; ASYMPTOTICS; WAVE;

D O I：

10.1070/IM8470

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a new integral representation of the Maslov canonical operator convenient in numerical-analytical calculations, present an algorithm implementing this representation, and consider a number of examples.

引用

页码：286 / 328

页数：43

共 50 条

[31] Maslov-heaviside operator method and C0-operator duhamel integral
V. A. Kostin
A. V. Kostin
D. V. Kostin
[J]. Doklady Mathematics, 2013, 88 : 552 - 555
[32] Maslov-heaviside operator method and C 0-operator duhamel integral
Kostin, V. A.
Kostin, A. V.
Kostin, D. V.
[J]. DOKLADY MATHEMATICS, 2013, 88 (02) : 552 - 555
[33] On One Degenerating Singular Integral Operator
Polosin, A. A.
[J]. DIFFERENTIAL EQUATIONS, 2021, 57 (10) : 1413 - 1417
[34] HILBERT MATRIX AS A SINGULAR INTEGRAL OPERATOR
ROVNYAK, J
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 1970, 31 (3-4): : 347 - &
[35] On One Degenerating Singular Integral Operator
A. A. Polosin
[J]. Differential Equations, 2021, 57 : 1413 - 1417
[36] On the scaling limit of a singular integral operator
Krichever, Igor M.
Phong, Duong Hong
[J]. GEOMETRIAE DEDICATA, 2008, 132 (01) : 121 - 134
[37] On the scaling limit of a singular integral operator
Igor M. Krichever
Duong Hong Phong
[J]. Geometriae Dedicata, 2008, 132 : 121 - 134
[38] A singular integral operator with rough kernel
Fan, DS
Pan, YB
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (12) : 3695 - 3703
[39] THE SINGULAR INTEGRAL OPERATOR WITH DISCONTINUITY COEFFICIENTS
KARTZIVADZE, IN
[J]. DOKLADY AKADEMII NAUK SSSR, 1956, 109 (03): : 450 - 452
[40] ON THE KERNEL OF A SINGULAR INTEGRAL OPERATOR WITH SHIFT
Marreiros, Rui C.
[J]. OPERATORS AND MATRICES, 2017, 11 (04): : 1119 - 1139

← 1 2 3 4 5 →