In this article we define the Discrete Fourier Transformation for univariate polynomials and show that multiplication of polynomials can be carried out by two Fourier Transformations with a vector multiplication in-between. Our proof follows the standard one found in the literature and uses Vandermonde matrices, see e.g. [27].
@article{bwmeta1.element.doi-10_2478_v10037-006-0015-y,
author = {Krzysztof Treyderowski and Christoph Schwarzweller},
title = {Multiplication of Polynomials using Discrete Fourier Transformation},
journal = {Formalized Mathematics},
volume = {14},
year = {2006},
pages = {121-128},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0015-y}
}
Krzysztof Treyderowski; Christoph Schwarzweller. Multiplication of Polynomials using Discrete Fourier Transformation. Formalized Mathematics, Tome 14 (2006) pp. 121-128. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0015-y/
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