Course finder
Semester 2
Fourier Analysis (MATH10051)
Course Website
https://info.maths.ed.ac.uk/teaching.html
Subject
Mathematics
College
SCE
Credits
10
Normal Year Taken
4
Delivery Session Year
2023/2024
Pre-requisites
Visiting students are advised to check that they have studied the material covered in the syllabus of each prerequisite course before enrolling.
Course Summary
This is a course in the rigorous treatment of Fourier series and related topics.
Course Description
- Fourier series, Fourier coefficients, trigonometric polynomials and orthogonality.- Properties of Fourier coefficients; Bessel's inequality, Parseval's identity and the Riemann-Lebesgue lemma.- Various notions of convergence of Fourier series, including pointwise, uniform and mean square convergence. Summability methods, convolution and Young's inequality.- Fourier Analysis in broader contexts; for example, Fourier integrals, Fourier expansions in groups, Schwartz spaces and tempered distributions.
Assessment Information
Written Exam 95%, Coursework 5%, Practical Exam 0%
Additional Assessment Information
Coursework 5%, Examination 95%
view the timetable and further details for this course
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