Junjie Zhu

most citedFourier dimension of conical and cylindrical hypersurfaces

1 citations · 1 across the 3 of their papers we have counts for

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math.CA2024

Fourier dimension of constant rank hypersurfaces

Junjie Zhu

Any hypersurface in $R^{d + 1}$ has a Hausdorff dimension of $d$ . However, the Fourier dimension depends on the finer geometric properties of the hypersurface. For example,…

math.CA2024★ 1 cited

Fourier dimension of conical and cylindrical hypersurfaces

Junjie Zhu

The notions of Hausdorff and Fourier dimensions are ubiquitous in harmonic analysis and geometric measure theory. It is known that any hypersurface in $R^{d + 1}$ has Hausdo…