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Fourier Transformation and Sobolev Spaces
| Speaker: |
K. Malakpoor, M.Sc. |
| Date: |
Wednesday September 24, 2003 |
| Title: |
Fourier Transformation and Sobolev Spaces
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Abstract
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| In this work we start with the discussion of taking
derivatives in the distribution sense. The definition of distribution
space is given with some examples. We introduce the space of tempered
distributions and we extend the definition of Fourier transform in the
framework of tempered distributions. Here we introduce Sobolev spaces
by using the Fourier transformation and we show that this definition is
equal with the standard definition of Sobolev spaces. Finally we give
some application to PDE by using Fourier theory. |
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