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：0
|
作者：
V. E. Nazaikinskii
A. I. Shafarevich
机构：
[1] Russian Academy of Sciences,Ishlinsky Institute for Problems in Mechanics
[2] Moscow Institute of Physics and Technology (State University),Faculty of Mechanics and Mathematics
[3] Moscow State University,undefined
[4] National Research Center “Kurchatov Institute”,undefined
来源：
Doklady Mathematics | 2018年 / 97卷
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摘要：
An analogue of Maslov’s canonical operator for rapidly decaying functions is defined. The construction generalizes the ∂/∂τ-canonical operator on homogeneous manifolds from distributions to smooth localized functions. The main novelty is that the wave profile must be specified explicitly.
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页码：177 / 180
页数：3
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