Conditions against rapid decrease of oscillatory integrals and their applications to inverse scattering problems
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Publication:1821963
zbMath0617.35104MaRDI QIDQ1821963
Publication date: 1986
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
scatteringintegral representationinhomogeneous mediumoscillatory integralsscattering kernelbounded obstacle
Scattering theory for PDEs (35P25) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)
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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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