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math.FA2026
Towards direct -bounds for maximal partial sums of Walsh--Fourier series: The case of dyadic partial sums
Joseph D. Lakey
We outline an approach to obtain direct estimates not requiring interpolation for so-called linearized partial sums operators associated with expansions in Walsh functions. W…
math.FA2018★ 2 cited
Spatio-spectral limiting on hypercubes: eigenspaces
Jeffrey A. Hogan, Joseph D. Lakey
The operator that first truncates to a neighborhood of the origin in the spectral domain then truncates to a neighborhood of the origin in the spatial domain is investigated in the…