Titlebook: Analytic Partial Differential Equations; François Treves Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive licens

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François TrevesA self-contained introduction to the analysis of solutions of partial differential equations on manifolds.Introduces tools of microlocal analysis such as the FBI transform and pseudodifferential opera

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https://doi.org/10.1007/3-540-36776-4ny mathematicians, to start with, by the initiator of the theory, M. Sato and his school (see [Sato-Kawai-Kashiwara, 1973], [Morimoto, 1973]). We have strived to keep the exposition as elementary as feasible.

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Examples of Two-Dimensional Systems,rtant aspect of how we define distributions, often called . after the pioneering text [De Rham, 1955], on a . manifold is the distinction made necessary by the orientation, or lack thereof, of the manifold.

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