Abstract
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.
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Acknowledgements
The author would like to thank the anonymous referees for their careful readings and detailed valuable suggestions which led to the significant improvement of the manuscript. This work was partially supported by the National Natural Science Foundation of China (Grant No. 11871362).
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Xu, C. Fourier matrices and Fourier tensors. Front. Math. China 16, 1099–1115 (2021). https://doi.org/10.1007/s11464-021-0904-y
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DOI: https://doi.org/10.1007/s11464-021-0904-y