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Abstract: In general the composition of Fourier integral operators FIOs need not bean FIO. Motivated by the problem of linearized seismic inversion in thepresence of cusp caustics for the background sound speed, we consider FIOswhose canonical relations have certain two-sided cusp degeneracies, and showthat the resulting compositions have wave-front relations in the union of thediagonal and an open umbrella, the simplest type of singular Lagrangianmanifold.



Author: Raluca Felea, Allan Greenleaf

Source: https://arxiv.org/







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