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 |