discipline

Pure Mathematics

subject

Harmonic Analysis I

 

lecturers

János Kristóf

credits

2

period

3

curriculum

Group representations and the algebraic dual of a group, theorem of Wigner-Neumann, group topologies, metrisability and connectivity of topological groups, uniform continuity, continuous topological representations, continuity of unitary representations, transitive representations of locally compact groups, continuous functions on locally compact spaces, complex Radon measures, elementary integration, continuous dependence on a parameter of an integral, elementary Lebesgue-Fubini theorem, invariant Radon measures, regular representations, existence and uniqueness of a Haar measure on locally compact group, unimodularity

 

literature

E. Hewitt – K. Ross: Abstract Harmonic Analysis

N. Bourbaki: Intégration

 

form of tuition

Lectures

mode of assessment

oral exam