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Lecture notes introducing this technique for solving first and second order differential equations. Scanned (GIF) by Joceline Lega.
These lecture notes cover a first year graduate course that was given on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem.
A set of downloadable lectures.
A set of downloadable lectures.
Lecture notes introducing this technique for solving first and second order differential equations. Scanned (GIF) by Joceline Lega.
These lecture notes cover a first year graduate course that was given on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem.
