Good book on topological group theory?

Question

I'm looking for a good introduction to the theory of locally compact groups and their representations. It may assume the reader to be familiar with basic group theory, topology and measure theory.

The title of your question seems to be slightly different from the body of your question. One asks about topological groups and the second one about representation theory of locally compact groups. — Martin Sleziak, May 24 '13 at 10:31

score 5 · Accepted Answer · answered May 21 '13 at 15:26

5

There is a classical Lev Pontrjagin’s book “Continuous groups” or “Topological groups” (original is in Russian, but there exists an English translation too). Also I often encountered references to “Abstract Harmonic Analysis” by E.Hewitt and K.Ross it this context, but I never saw this book. :-)

answered May 21 '13 at 15:26

Alex Ravsky

90,434

“Abstract Harmonic Analysis” by E.Hewitt and K.Ross is indeed a very nice book. However, IMHO, Folland is better for an introductory reading. – leshik May 23 '13 at 06:43
In your more recent answer to a similar question you mention a much newer book (2008). Can you comment on the similarity/differences? – cantorhead May 07 '16 at 17:08

score 3 · Answer 2 · answered May 21 '13 at 15:32

3

You may consider G. B. Folland's book A Course in Abstract Harmonic Analysis.

answered May 21 '13 at 15:32

MichaelNgelo

553
3
15

Good book on topological group theory?

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