Entry requirements

Complex Analysis MN1 and Fourier Analysis MN1.

Aims

The aim of the course is to provide a deeper understanding

of the discrete Fourier transform, expansions in

terms of orthogonal bases, and other transforms

such as the Radon transform and various wavelet

transforms. The laboratory work should familiarise

the student with computational aspects of these

transforms.

Content

The fast Fourier transform. The classical

orthogonal function systems associated with the

names Hermite, Legendre, Jacobi, Chebyshev, Bessel,

Hankel. The Radon transform. Wavelets and

expansion in various bases of wavelet functions.

Instruction

Lectures and laboratory work.

Assessment

Written and oral examination with problems and

theory questions (6 ECTS credit points) at the end of the course. Passed

laboratory work is also required (1.5 ECTS credit points).