Content and teaching | Assessment | Availability

Module content and teaching

Principal aims

The module build upon modules on the second and third year like Metric Spaces, Measure Theory and Functional Analysis I to present the fundamental tools in Harmonic Analysis and some applications, primarily in Partial Differential Equations. Some of the main aims include: Exploring the connections between singular integrals and the summation of Fourier series; Studying Connection between the boundedness of singular integrals and the existence of solutions for some partial differential equations; Understanding the scaling properties of inequalities; Defining Sobolev spaces using the Fourier Transform and the connections between the decay of the Fourier Transform and the regularity of functions.

Departmental link

Other essential notes

Prerequisites: MA3G7 Functional Analysis I and MA359 Measure Theory. Desirable: MA3G8 Functional Analysis II.

Module assessment

Assessment group Assessment name Percentage
15 CATS (Module code: MA4J0-15)
B (Examination only) Examination - Main Summer Exam Period (weeks 4-9) 100%

Module availability

This module is available on the following courses:



Optional Core