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
- 作者: Nazaikinskii V.E.1,2, Shafarevich A.I.1,2,3,4
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隶属关系:
- Ishlinsky Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- Faculty of Mechanics and Mathematics
- National Research Center “Kurchatov Institute”
- 期: 卷 97, 编号 2 (2018)
- 页面: 177-180
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225487
- DOI: https://doi.org/10.1134/S1064562418020217
- ID: 225487
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详细
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.
作者简介
V. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
编辑信件的主要联系方式.
Email: nazaikinskii@googlemail.com
俄罗斯联邦, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700
A. Shafarevich
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University); Faculty of Mechanics and Mathematics; National Research Center “Kurchatov Institute”
Email: nazaikinskii@googlemail.com
俄罗斯联邦, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119991; Moscow, 123182
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