**Requirements/prerequisites:**
prerequisite: 221

**Duration:** Hilary term, 10 weeks

**Number of lectures per week:** 3 lectures including tutorials per week

**Assessment:**

**End-of-year Examination:**
This module will be examined jointly with MA342B
in a 3-hour examination in Trinity term,
except that those taking just one of the
two modules will have a 2 hour examination.

**Description: **
Harmonic Analysis is one of the most successful and beautiful areas of
mathematics. From its origins in Fourier series, it has expanded in
various ways - singular integral operators, complex analysis, group
representation theory, operator theory.

**Topics:**

Fourier Series: Origins. Convergence of Cesaro means. Mean-square convergence.

Pointwise convergence (for smooth classes). Failure of pointwise convergence.

Weyl's equidistribution theorem.

Fourier Transform: Definition, inversion, Plancherel formula.

Feb 26, 2010

File translated from T

On 26 Feb 2010, 18:24.