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
Convolution over the Spaces S′k
✍ Scribed by B.J. Gonzalez; E.R. Negrin
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 364 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0022-247X
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