PMATH 810, Winter 2015
Talk Topics
1. A simple proof of the existence of the Haar integral on locally compact
abelian groups. A. Izzo, Proc. Amer. Math. Soc., 115 (1992), no. 2,
581583.
2. Invariant m
PMATH 950, Winter 2016
Assignment #3
Due: March 24.
Generally, G will denote a locally compact group, below.
1. Let G be compact and s G. Show that cfw_sn : n N is a subgroup of
G. Deduce that any clo
PMATH 950, Winter 2016
Assignment #2
Due: February 25.
Generally, G will denote a locally compact group, below.
1. Let N be a closed normal subgroup of G.
(a) Verify that the funtional on Cc (G) given
PMATH 950, Winter 2016
Assignment #1
Due: January 28.
Unless otherwise stated, (G, ) always denotes a Hausdorff locally compact group.
1. Show that (G, ) is complete in the following sense: If (x ) is
PMATH 950: Harmonic Analysis
Winter 2016
Instructor. Nico Spronk, [email protected], MC5322.
Content. I will cover all of the basic topics:
locally compact groups, Haar measure
abelian harmonic a
Coures notes for PMATH 950
Christopher Hawthorne
Lectures by Nico Spronk, Winter 2016
Contents
1 Locally compact grapes
1
1
Locally compact grapes
We recall some topology.
Suppose X is a set. A topolo