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math.CA2024★ 1 cited
Fourier decay of product measures
Jonathan M. Fraser
Can one characterise the Fourier decay of a product measure in terms of the Fourier decay of its marginals? We make inroads on this question by describing the Fourier spectrum of a…
math.CA2024
A Fourier analytic approach to exceptional set estimates for orthogonal projections
Jonathan M. Fraser, Ana E. de Orellana
Marstrand's celebrated projection theorem gives the Hausdorff dimension of the orthogonal projection of a Borel set in Euclidean space for almost all orthogonal projections. It is…
math.CA2024
Obtaining the Fourier spectrum via Fourier coefficients
Marc Carnovale, Jonathan M. Fraser, Ana E. de Orellana
The Fourier spectrum is a family of dimensions that interpolates between the Fourier and Hausdorff dimensions and are defined in terms of certain energies which capture Fourier dec…