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Conditions against rapid decrease of oscillatory integrals and their applications to inverse scattering problems

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Publication:1821963
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zbMath0617.35104MaRDI QIDQ1821963

Hideo Soga

Publication date: 1986

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

scatteringintegral representationinhomogeneous mediumoscillatory integralsscattering kernelbounded obstacle


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)


Related Items (7)

Characterization of a convex obstacle by singularities of the scattering kernel ⋮ Singularities of the Scattering Kernel and Scattering Invariants for Several Strictly Convex Obstacles ⋮ Meromorphic continuations of local zeta functions and their applications to oscillating integrals ⋮ Unnamed Item ⋮ Singularities of the scattering kernel for two convex obstacles ⋮ Inverse scattering problem for moving obstacles ⋮ One can hear the shape of ellipses of small eccentricity




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