Departments' graduate courses

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Theory of distributions

  • Course code: FMVE365
  • Course higher education credits: 7.5
  • Department: MATHEMATICAL SCIENCES
  • Graduate school: Mathematics
  • Course start: 2017-03-20
  • Course end: 2017-05-19
  • Course is normally given: Period 4, odd-numbered years
  • Language: The course will be given in English
In this course you will learn how to do the impossible, to differentiate non-differentiable functions. This is accomplished by introducing distributions, which are a much larger class of objects than functions. Distributions include all bounded functions, all distributions are differentiable, the normal differentiation rules hold and for differentiable functions, the distributional derivative is the same as the usual one. Distributions also provide a generalisation of the Fourier transform. The theory of distributions is of fundamental importance for modern analysis, especially in the theory of differential equations.
Literature
Lecturers
Hasse Carlsson
More information
Hasse Carlsson, hasse@chalmers.se

Published: Tue 22 Aug 2017.