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Studies in Harmonic Analysis and Discrete Geometry: Tilings, Spectra and Quasicrystals

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Fuglede’s spectral set conjecture for convex polytopes

Author(s): Rachel Greenfeld, Nir Lev
Published in: Analysis & PDE, Issue 10/6, 2017, Page(s) 1497-1538, ISSN 2157-5045
DOI: 10.2140/apde.2017.10.1497

Fourier frames for singular measures and pure type phenomena

Author(s): Nir Lev
Published in: Proceedings of the American Mathematical Society, Issue 146/7, 2018, Page(s) 2883-2896, ISSN 0002-9939
DOI: 10.1090/proc/13849

A note on weighted bounds for rough singular integrals

Author(s): Andrei K. Lerner
Published in: Comptes Rendus Mathematique, Issue 356/1, 2018, Page(s) 77-80, ISSN 1631-073X
DOI: 10.1016/j.crma.2017.11.016

Fourier quasicrystals and discreteness of the diffraction spectrum

Author(s): Nir Lev, Alexander Olevskii
Published in: Advances in Mathematics, Issue 315, 2017, Page(s) 1-26, ISSN 0001-8708
DOI: 10.1016/j.aim.2017.05.015

An L2-identity and pinned distance problem

Author(s): Bochen Liu
Published in: Geometric and Functional Analysis, Issue 29/1, 2019, Page(s) 283-294, ISSN 1016-443X
DOI: 10.1007/s00039-019-00482-8

Commutators of singular integrals revisited

Author(s): Andrei K. Lerner, Sheldy Ombrosi, Israel P. Rivera-Ríos
Published in: Bulletin of the London Mathematical Society, Issue 51/1, 2019, Page(s) 107-119, ISSN 0024-6093
DOI: 10.1112/blms.12216