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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Аннотация

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.

Авторлар туралы

V. Nazaikinskii

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

Хат алмасуға жауапты Автор.
Email: nazaikinskii@googlemail.com
Ресей, 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
Ресей, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119991; Moscow, 123182

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