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Fourier Transform over the Spaces S′k

✍ Scribed by B.J. Gonzalez; E.R. Negrin

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
465 KB
Volume
194
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 with unit element. 1945 Academic Press. Inc.

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