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I want/need to learn about locally compact groups in rigorous way. Mainly to completely understand Tate's thesis/Weil's basic number theory. Could you recommend a text or lecture note which would explain in detail? I can't seem to find elementary text for it.

Thanks

Jack Yoon
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    Did you have a look at Folland's "A Course in Abstract Harmonic Analysis"? – PhoemueX Jun 17 '14 at 15:28
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    I will have a look there. Also I seem to find

    http://www.math.mcgill.ca/darmon/theses/leahy/thesis.pdf

    use ful

     – Jack Yoon Jun 17 '14 at 16:51
  • For number theory, slightly less generality is perfect: one wants to look at profinite groups (for Galois groups - these are compact) and locally compact abelian groups (for additive and multiplicative Haar measures on local fields and adeles/ideles). – anon Jul 11 '14 at 22:52
  • The book of Markus Stroppel "Locally compact groups". It contains the most important fact on locally compact groups. – Evian Feb 16 '20 at 08:21

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