Theory of Distributions

Education facts

Code: MMA130

In this course you will learn to do the impossible: to differentiate non-differentiable functions. We do this by introducing distributions, which is a larger class of objects than functions. All bounded functions are included in the class of distributions, all distributions are differentiable and conform to the ordinary rules of differentiation, and for differentiable functions the distribution derivative is the same as the ordinary derivative. Distributions also give us a way to generalize the Fourier transform. Distribution theory is of fundamental importance in modern analysis, especially in the theory of differential equations.

Entry requirements

Knowledge equivalent to the course MMA110 Integration Theory.

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.

• Theory of Distributions

  University of Gothenburg

  Start date: 20 January 2025

  End date: 23 March 2025

  Pace of study: 50 %