Applied and Computational Microlocal and Harmonic Analysis

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1500

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CAAM 423 or CMOR 405 Description: Introduction to microlocal and harmonic analysis. Oscillatory integrals, Wavefront set, Pseudodifferential and Fourier Integral Operators and their calculus, and basic symplectic geometry. Egorov’s theorem and propagation of singularities. Wavepackets, matrix classes and discretization; USFFT and fast curvelet transform. Parametrix construction for wave equations and applications in imaging. Recommended Prerequisite(s): MATH 302 , (CAAM 334 or CMOR 303 or CAAM 335 or CMOR 302 ), MATH 401 , (CAAM 453 or CMOR 422 ), MATH 522→CMOR 507→unlocks 0 courses

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