Numerical-Valued Fourier Transforms
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 125-127
Voir la notice de l'article provenant de la source Cambridge University Press
It is shown that the classical Fourier transform can be extended as an algebra isomorphism onto the algebra of all complex-valued functions, which are measurable and finite a.e., under pointwise addition and multiplication. The extended Fourier transform agrees with the distributional Fourier transform on the space of all distributions which have regular transforms. It is defined on an algebra of Mikusiński-type operators in which multiplication is convolution in the subspace of integrable distributions.
Struble, Raimond A. Numerical-Valued Fourier Transforms. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 125-127. doi: 10.4153/CMB-1977-023-4
@article{10_4153_CMB_1977_023_4,
author = {Struble, Raimond A.},
title = {Numerical-Valued {Fourier} {Transforms}},
journal = {Canadian mathematical bulletin},
pages = {125--127},
year = {1977},
volume = {20},
number = {1},
doi = {10.4153/CMB-1977-023-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-023-4/}
}
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