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تسجيل مستخدم جديدFormulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients
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We establish formulas for the $b$-adic Walsh coefficients of functions in $C^alpha[0,1]$ for an integer $alpha geq 1$ 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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