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