A Euclidean Fourier‐analytic approach to vertical projections in the Heisenberg group

DOI10.1112/blms.12770arXiv2203.10915OpenAlexW4312218972MaRDI QIDQ6096762

Terence L. J. Harris

Publication date: 15 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.10915

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (1)

Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences

Cites Work

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• Projection and slicing theorems in Heisenberg groups
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Hilbert transforms along curves. I: Nilpotent groups
• The effect of projections on dimension in the Heisenberg group
• Improved Hausdorff dimension estimate for vertical projections in the Heisenberg group
• Fractals in Probability and Analysis
• An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group
• Fourier Analysis and Hausdorff Dimension
• On Positivity of Fourier Transforms
• On Hausdorff dimension of projections

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