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Fourier decay of measures supported on sets of numbers with consecutive partial quotients belonging to a given set
Fraser, Robert
Fraser, Robert
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Fraser, Robert
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2026-03-30
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Fraser, R. (2026), Fourier decay of measures supported on sets of numbers with consecutive partial quotients belonging to a given set. Mathematika, 72: e70087. https://doi.org/10.1112/mtk.70087
Abstract
We consider measures supported on sets of irrational numbers possessing many consecutive partial quotients satisfying a condition based on the previous partial quotients. We show that under mild assumptions, such sets will always support measures whose Fourier transform decays to zero. © 2026 The Author(s). The publishing rights in this article are licensed to University College London under an exclusive licence. Mathematika is published by the London Mathematical Society on behalf of University College London.
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This is an open access article under the CC BY license.
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John Wiley and Sons Inc
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Mathematika
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00255793