# Banach Lecture 9

This lecture ( banach9) was given on 9/16/09.

### Excerpts

A character on a topological group is a continuous homomorphism of the group into the group . Most of the lecture was spent proving the following theorem.

Thm: The characters on are the functions .

For , let . By the Riemann-Lesbegue lemma, but we do not have equality.

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You’re currently reading “Banach Lecture 9,” an entry on Math Meandering

- Published:
- September 20, 2009 / 4:00 pm

- Category:
- Banach Algebras (Course), Uncategorized

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