Frontiers of Mathematics in China >
Fourier matrices and Fourier tensors
Received date: 01 Sep 2020
Accepted date: 29 Jan 2021
Copyright
The Fourier matrix is fundamental in discrete Fourier transforms and fast Fourier transforms. We generalize the Fourier matrix, extend the concept of Fourier matrix to higher order Fourier tensor, present the spectrum of the Fourier tensors, and use the Fourier tensor to simplify the high order Fourier analysis.
Key words： Fourier matrix; tensor; CP decomposition; Fourier analysis
Changqing XU . Fourier matrices and Fourier tensors[J]. Frontiers of Mathematics in China, 2021 , 16(4) : 1099 -1115 . DOI: 10.1007/s11464-021-0904-y
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