Harmonic analysis، MSC Midterm Exam ،Dr.Vishki
رای دهی: 3 / 5
Exam Name : Harmonic analysis
MSC Midterm Exam
Dr H.R.E.Vishki
Department of Mathematics Ferdowsi University of Mashhad
24- Ordibehesht 87
1.
Let 
be the left Haar measure on G. show that :
i)
G is compact iff 
.
ii) G
is unimodulus iff is inversion invariant .
2.
For
As a subgroup of 
, construct the left and right Haar measures of G.
3.
For a compact group G, show that 
.
4.
Show that 
is not a 
.
Construct an approximate identity for .
5.
Let 
be the modulus function of G. show that if 
then G is unimodulus.
