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Creators/Authors contains: "Jaye, Benjamin"

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  1. ; (, Proceedings of the American Mathematical Society)
    We prove the existence of a ( d −<#comment/> 2 ) (d-2) -dimensional purely unrectifiable set upon which a family ofevensingular integral operators is bounded. 
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    Free, publicly-accessible full text available September 26, 2025
  2. ; ; (, Applied and Computational Harmonic Analysis)
    Free, publicly-accessible full text available September 1, 2025
  3. ; (, Applied and Computational Harmonic Analysis)
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  4. ; (, Advances in Mathematics)
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  5. ; ; (, The Journal of Geometric Analysis)
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  6. ; (, International Mathematics Research Notices)
    null (Ed.)
    Abstract This paper builds upon two key principles behind the Bourgain–Dyatlov quantitative uniqueness theorem for functions with Fourier transform supported in an Ahlfors regular set. We first provide a characterization of when a quantitative uniqueness theorem holds for functions with very quickly decaying Fourier transform, thereby providing an extension of the classical Paneah–Logvinenko–Sereda theorem. Secondly, we derive a transference result which converts a quantitative uniqueness theorem for functions with fast decaying Fourier transform to one for functions with Fourier transform supported on a fractal set. In addition to recovering the result of Bourgain–Dyatlov, we obtain analogous uniqueness results for denser fractals. 
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  7. ; ; (, Annals of mathematics)
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  8. ; (, Revista Matemática Iberoamericana)
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  9. ; ; ; (, IEEE Transactions on Information Theory)
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  10. ; (, Journal of the European Mathematical Society)
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