## Spectral Theory and Wave Processes |

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### Contents

The Lamb Problem for an Inhomogeneous Elastic | 1 |

Geometry of Rays and Wave Fronts | 11 |

The Field in the Neighborhood of the Slip Fronts of | 18 |

Copyright | |

12 other sections not shown

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analytic assume asymptotic behavior asymptotic expansion asymptotic expression asymptotic formula belongs to class boundary conditions bounded calculated class Sp coefficients conditions of Theorem convergence corresponding defined denote derivatives differential equation Dokl.Akad.Nauk SSSR elastic estimate following asymptotic Gokhberg half-axis half-plane Imk head wave Hilbert space inequality inhomogeneous integral equation integral operator integral sums interval kernel Lamb problem Lemma linear longitudinal wave M.G. Krein Matem matrix method neighborhood noted number of eigenvalues obtain one-dimensional operator H plane potential q(x present paper proof of Theorem proved Rayleigh wave real axis regular function respect saddle-point method satisfies condition satisfies the condition scattering Schroedinger operator self-adjoint operators set E2 singular points solution of Eq solution of system spectral spectral sets spectrum Stieltjes integral subdivision sum S(A term Theorem theory tion trace formulas transformers of class transverse waves upper half-plane valid variable vector Volterra operator wave front Weyl function zero