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
收藏
页码：286 / 328
页数：43
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