Functions as vectors - Mathematical Methods

Mathematical Methods: Functions as Vectors

This page covers the contents of the third-week lectures. Topics include:

• The function space L²: inhabitants, basis
• Fourier series
• Fourier transforms
• Dirac delta

Here are my notes (2-up) and problems.

See also sections 18-20 of Fabian Essler’s MT2009 notes and his Problem Set III.