Hausdorff dimension, projections, and the Fourier transform

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This is a survey on transformation of fractal type sets and measures under orthogonal projections and more general mappings.

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On the dimension and smoothness of radial projections (2017, background): “sier for box dimension. The study of (in-)visibility has a long tradition in geometric measure theory. For many more results and questions than I can introduce here, see Section 6 of Mattila’s survey [11]. The basic question is the following: given a Borel set K⊂ Rd, how large can the sets Inv(K) = ”