Fourier Transform over the Spaces Sโฒk
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B.J. Gonzalez; E.R. Negrin
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Article
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1995
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Elsevier Science
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English
โ 465 KB
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