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Pseudodifferential Operators and Applications
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On the Convergence of Local Approximations to Pseudodifferential Operators with Applications
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The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in References for the basic theory roughly in ascending order of difficulty :. Please note that the notes below are not in final form and may be somewhat rough.
Applications of pseudodifferential operators to PDE - MathOverflow
Introduction to microlocal analysis Mikko Salo. Pseudodifferential symbols Jesse Railo. The Dirichlet-to-Neumann map as a pseudodifferential operator Tony Liimatainen.
The normal operator of the geodesic X-ray transform Joonas Ilmavirta : paper and rough notes. Geodesic flows, notes 1: symplectic geometry. Geodesic flows, notes 2: geodesic flow as Hamilton flow.
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Geodesic flows, notes 3: symplectic and volume-preserving maps. Geodesic flows, notes 4: the Sasaki metric.
Geodesic flows, notes 5: symplectic isoperimetric inequalities. Geodesic flows, notes 6: the Sasaki metric in local coordinates. Geodesic flows, notes 7: recap. Geodesic flows, notes 8: derivatives on the unit sphere bundle.
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