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Green's Functions
Lecture notes introducing this technique for solving first and second order differential equations. Scanned (GIF) by Joceline Lega.
http://math.arizona.edu/~lega/583/Fall98/lectnotes/GF1.html
Arizona.edu ~
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Pseudo-Differential Operators
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.
http://arxiv.org/abs/math.AP/9906155
Arxiv.org ~
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