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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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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

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