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Ring structures and the discrete Fourier transform - MaRDI portal

Ring structures and the discrete Fourier transform (Q1076504)

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scientific article; zbMATH DE number 3954239
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Ring structures and the discrete Fourier transform
scientific article; zbMATH DE number 3954239

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    Ring structures and the discrete Fourier transform (English)
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    1985
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    This paper calls our special attention to ring structures of angle operators in finite Fourier transformation. An idea of the ring structures is developed to construct algorithms for the finite Fourier transform on the groups: \[ {\mathbb{Z}}/(p^ s{\mathbb{Z}})\oplus {\mathbb{Z}}/(p^ s{\mathbb{Z}})\oplus...\oplus {\mathbb{Z}}/(p^ s{\mathbb{Z}}). \]
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    cyclic convolution
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    automorphism
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    ring structures
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    angle operators
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    finite Fourier transformation
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