Fourier transform inversion in the Alexiewicz norm

2022/02/03 by Erik Talvila, Talvila, Erik
Energy · #Renewable energy and sustainable power systems

paper · pdf · doi:10.48550/arxiv.2202.01359

Abstract

If f∈ L¹(\mathbb R) it is proved that lim_S→∞‖ f-f∗ D_S‖=0, where D_S(x)=sin(Sx)/(πx) is the Dirichlet kernel and ‖ f‖ = sup_α

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