Universal spectra and Tijdeman's conjecture on factorization of cyclic groups

DOI10.1007/s00041-001-0005-yzbMath0988.47006arXivmath/0008132OpenAlexW2048216200WikidataQ123182768 ScholiaQ123182768MaRDI QIDQ5931802

Sándor Szabó, Jeffrey C. Lagarias

Publication date: 27 June 2002

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008132

zbMATH Keywords

orthogonal basisspectral settilinguniversal spectrum conjecture of Lagarias and Wang

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Fourier series and coefficients in several variables (42B05) Harmonic analysis and almost periodicity in probabilistic number theory (11K70)

Related Items (12)

Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$ ⋮ On characterizations of spectra and tilings ⋮ On a criterion of universal spectra ⋮ Infinite orthogonal exponentials for a class of Moran measures ⋮ The Coven-Meyerowitz tiling conditions for 3 odd prime factors ⋮ Spectra of certain types of polynomials and tiling of integers with translates of finite sets. ⋮ Fuglede’s conjecture for a union of two intervals ⋮ Some reductions of the spectral set conjecture to integers ⋮ Duality properties between spectra and tilings ⋮ Combinatorial and harmonic-analytic methods for integer tilings ⋮ Tiles with no spectra ⋮ Tiling the integers with aperiodic tiles

This page was built for publication: Universal spectra and Tijdeman's conjecture on factorization of cyclic groups