In this paper, we prove a representation theorem for the usual distributional Fourier transform over the spaces \(\mathscr{P}_{k}^{\prime}, k \in \mathbb{Z}, k<0\). An inversion formula is also obtained, which enables us to prove that \(\mathscr{Y}_{k}^{\prime}\) is a commutative convolution algebra
How well does the finite Fourier transform approximate the Fourier transform?
β Scribed by Charles L. Epstein
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 141 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0010-3640
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