Non-symmetric convex domains have no basis of exponentials

zbMath0972.52011arXivmath/9904064MaRDI QIDQ1584486

Mihail N. Kolountzakis

Publication date: 22 November 2001

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9904064

zbMATH Keywords

Fourier transformtempered distributionspectral settiling of a space by translationuniformly bounded density

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Fourier series and coefficients in several variables (42B05) Combinatorial aspects of tessellation and tiling problems (05B45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

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