Mathematical Sciences

Lund University

Distribution Theory

Official Course Description


All functions are not differentiable. One of the purposes of distribution theory is to deal with this problem. It also turns out that results from Fourier analysis are more satisfactory in the distribution theoretical twist. Distribution theory is an important tool in the theory of partial differential equations and thus essential for eg theoretical physics. Research on partial differential equations has a strong global position in Lund. The course treats: fundamentals of distribution theory, test-functions, the concept of distributions, distributions with compact support, operations on distributions, convolution, homogenous distributions and the Fourier transform.

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