Exam Name : Harmonic analysis
MSC Midterm Exam
Department of Mathematics Ferdowsi University of Mashhad
24- Ordibehesht 87
be the left Haar measure on G. show that :
G is compact iff .
is unimodulus iff is inversion invariant .
As a subgroup of
, construct the left and right Haar measures of G.
For a compact group G, show that .
is not a .
Construct an approximate identity for .
be the modulus function of G. show that if
then G is unimodulus.