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


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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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V. Nazaikinskii

Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)

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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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