Elements of the Theory of Distributions

What it is about

You learn the fundamentals of distribution theory: test functions, the delta distribution, distributions on D and S, as well as operations such as convolution, derivatives, integration and Fourier transforms of distributions. By the end you can perform calculations with distributions and apply them in various applications.

What you will be able to do

• Understanding the concept of distributions
• Calculation with distributions
• Application of distributions in various contexts
• Mastery of derivatives, integrals, convolutions and Fourier transforms in the sense of distributions

What the module consists of

• VorlesungDelivery of theoretical foundations and examples
• Aufgaben/ÜbungenPractice with distributions and deepening of the lecture material

Teaching method

• LecturesDelivery of theory and central examples
• AssignmentsPractical exercises to consolidate and apply what has been learned