Fourier Analysis (U04230)

? Credit Points : 10 ? SCQF Level : 10 ? Acronym : MAT-4-FAn

Fourier series, pointwise convergence of Fourier series and other summability methods. Fourier transform, convolution, Schwartz spaces and tempered distributions, convergence and summability of Fourier integral, eigenfunctions of FT (Hermite polynomials).

Entry Requirements

? Pre-requisites : MAT-4-HSp

Subject Areas

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

Other subject areas

Specialist Mathematics & Statistics (Pure), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 4th year

? Delivery Period : Semester 2 (Blocks 3-4)

? Contact Teaching Time : 2 hour(s) per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
13/01/2009	12:10	13:00	Lecture Room 5215, JCMB	KB

All of the following classes

Type	Day	Start	End	Area
Lecture	Tuesday	12:10	13:00	KB
Lecture	Friday	12:10	13:00	KB

Summary of Intended Learning Outcomes

1. Ability to apply general theory to specific examples.
2. An ability to use orthogonality arguments in concrete situations.
3. Familiarity of basic Fourier analysis results and an ability to use them.
4. To gain an appreciation of the interplay between analysis, geometry and algebra in the setting of Fourier theory.