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 |