discipline

Pure Mathematics

subject

Harmonic Analysis II

lecturers

János Kristóf

credits

2

period

4

curriculum

Convolution of functions, the measure algebra of a locally compact group, the basic theorem of abstract harmonic analysis, faithful unitary representation of a locally compact group, theorem of Gelfand-Raikov, theorem of Choquet, orthogonality relations, theorems of Peter-Weyl for compact groups, the dual of a commutative locally compact group, Gelfand representation and Fourier transformation, Stone theorems for commutative locally compact groups, factorisation of complex Radon measures, induced unitary representations, the iprimitivity theorem of Mackey, the representation theorem of Mackey

 

literature

E. Hewitt – K. Ross: Abstract Harmonic Analysis

A. A. Kirillov: Representation Theory

 

form of tuition

Lectures

mode of assessment

oral exam