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Friday, February 2, 2018

**Abstract:** Schwartz’ kernel theorem is a foundational result in the theory of distributions, going on to inspire many further techniques in analysis, e.g. Pseudodifferential Operators. And, like many other inspiring results, much is made of the statement and its consequences without considering much detail of the proof. In this talk I’ll give a proof of the theorem suggested in lecture notes of Richard Melrose.