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Behavior of the Fourier transform in function spaces

โœ Scribed by A. B. Gulisashvili

Publisher
Springer US
Year
1981
Tongue
English
Weight
138 KB
Volume
14
Category
Article
ISSN
0016-2663

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โœ B.J. Gonzalez; E.R. Negrin ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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