Any sequence that works as a Weyl multiplier for rearranged multiple trigonometric systems in any dimension must grow at least like log n and at most like log² n, via an equivalence to the one-dimensional case.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.CA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The sum 1/(n w(n)) converging is necessary and sufficient for an increasing w(n) to be an a.e. unconditional convergence Weyl multiplier for arbitrary wavelet-type systems, and log n is optimal for rearranged systems.
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On UC-multipliers for multiple trigonometric systems
Any sequence that works as a Weyl multiplier for rearranged multiple trigonometric systems in any dimension must grow at least like log n and at most like log² n, via an equivalence to the one-dimensional case.
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Quantitative estimates for the absolute convergence of wavelet-type series
The sum 1/(n w(n)) converging is necessary and sufficient for an increasing w(n) to be an a.e. unconditional convergence Weyl multiplier for arbitrary wavelet-type systems, and log n is optimal for rearranged systems.