Higher-order Fourier Analysis and Applications

FOUNDATIONS AND TRENDS IN THEORETICAL COMPUTER SCIENCE, pp. 247-448, 2019.

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Abstract:

Fourier analysis has been extremely useful in many areas of mathematics. In the last several decades, it has been used extensively in theoretical computer science. Higher-order Fourier analysis is an extension of the classical Fourier analysis, where one allows to generalize the "linear phases" to higher degree polynomials. It has emerged...More

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