On the Universal Tiling Conjecture in Dimension One
Abbreviated Journal Title
J. Fourier Anal. Appl.
Fuglede conjecture; Spectrum; Tiling; Spectral pairs; Fourier analysis; SPECTRAL SET CONJECTURE; FUGLEDES CONJECTURE; Mathematics, Applied
We show that the spectral-tile implication in the Fuglede conjecture in dimension 1 is equivalent to a Universal Tiling Conjecture and also to similar forms of the same implication for some simpler sets, such as unions of intervals with rational or integer endpoints.
Journal of Fourier Analysis and Applications
"On the Universal Tiling Conjecture in Dimension One" (2013). Faculty Bibliography 2010s. 3926.