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arXiv · 1504.04131

Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients

Kosuke Suzuki·Takehito Yoshiki
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Abstract

We establish formulas for the $b$-adic Walsh coefficients of functions in $C^α[0,1]$ for an integer $α\geq 1$ and give upper bounds on the Walsh coefficients of these functions. We also study the Walsh coefficients of periodic and non-periodic functions in reproducing kernel Hilbert spaces.

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Kosuke Suzuki, Takehito Yoshiki. 2015-08-26. Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients. https://doi.org/10.1016/j.jat.2015.12.002

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