Mathematics: Harmonic Analysis

Education facts

Code: MATP32

<p>The course gives an introduction to the principles and techniques of modern harmonic analysis, and enables the students to apply these techniques to a wide range of mathematical problems.</p><p>The course treats the maximal function, the space BMO (the space of functions of bounded mean oscillation) and the Carleson embedding theorem, Muckenhoupt weights, fundamental operators of harmonic analysis such as singular integral operators (in particular the Hilbert transform) and the square function. The course gives an introduction to modern discretisation techniques of harmonic analysis, such as wavelets (in particular the Haar wavelet) and sparse domination. Examples of applications in other areas of mathematics, such as partial differential equations, and outside mathematics are included.</p>

Entry requirements

At least 90 credits in mathematics, including courses corresponding to MATB34 Linear Analysis, 7.5 ECTS and MATM19 Integration Theory, 7.5 ECTS , and English course 6/B.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Mathematics: Harmonic Analysis

  Lund University

  Start date: 31 August 2026

  End date: 1 November 2026

  Pace of study: 50 %