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The S -transform on spaces of type S

✍ Scribed by Singh, Sunil Kumar


Book ID
121339786
Publisher
Taylor and Francis Group
Year
2012
Tongue
English
Weight
148 KB
Volume
23
Category
Article
ISSN
1065-2469

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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