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On Weyl multipliers of non-overlapping Franklin polynomial systems

Published 8 May 2020 in math.CA | (2005.04017v3)

Abstract: We prove that $\log n$ is an almost everywhere convergence Weyl multiplier for any orthonormal system of non-overlapping Franklin polynomials. It will also be remarked that $\log n$ is the optimal sequence in this context.

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