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2022 Hausdorff dimension and projections related to intersections
Pertti Mattila
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Publ. Mat. 66(1): 305-323 (2022). DOI: 10.5565/PUBLMAT6612212

Abstract

For Sg(x,y)=xg(y), x,yn, gO(n), we investigate the Lebesgue measure and Hausdorff dimension of Sg(A) given the dimension of A, both for general Borel subsets of 2n and for product sets.

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Pertti Mattila. "Hausdorff dimension and projections related to intersections." Publ. Mat. 66 (1) 305 - 323, 2022. https://doi.org/10.5565/PUBLMAT6612212

Information

Received: 26 May 2020; Accepted: 22 September 2020; Published: 2022
First available in Project Euclid: 4 January 2022

Digital Object Identifier: 10.5565/PUBLMAT6612212

Subjects:
Primary: 28A75

Keywords: Fourier transform , Hausdorff dimension , intersection , projection

Rights: Copyright © 2022 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.66 • No. 1 • 2022
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