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18 p, 402.3 KB Approximation via {Hausdorff} operators / Debernardi Pinos, Alberto (Bar-Ilan University. Department of Mathematics) ; Liflyand, Elijah (Bar-Ilan University. Department of Mathematics)
Truncating the Fourier transform averaged by means of a generalized Hausdorff operator, we approximate functions and the adjoint to that Hausdorff operator of the given function. We find estimates for the rate of approximation in various metrics in terms of the parameter of truncation and the components of the Hausdorff operator. [...]
2021 - 10.4153/S0008439520000612
Canadian Mathematical Bulletin, Vol. 64, issue 3 (September 2021) , p. 512-529  

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