Analogue of Maslov's Canonical Operator for Localized Functions and Its Applications to the Description of Rapidly Decaying Asymptotic Solutions of Hyperbolic Equations and Systems

被引：2
|
作者：
Nazaikinskii, V. E. [1 ,2 ]
Shafarevich, A. I. [1 ,2 ,3 ,4 ]
机构：
[1] Russian Acad Sci, Ishlinsky Inst Problems Mech, Moscow 119526, Russia
[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia
[3] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia
[4] Natl Res Ctr, Kurchatov Inst, Moscow 123182, Russia
来源：
DOKLADY MATHEMATICS | 2018年 / 97卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
DECREASING SOLUTIONS; REPRESENTATIONS;
D O I：
10.1134/S1064562418020217
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An analogue of Maslov's canonical operator for rapidly decaying functions is defined. The construction generalizes the a,/a,tau-canonical operator on homogeneous manifolds from distributions to smooth localized functions. The main novelty is that the wave profile must be specified explicitly.
引用
收藏
页码：177 / 180
页数：4
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