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

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