Papers by Terence Tao and others related to tile-spectral duality

Fuglede's conjecture is false in 5 and higher dimensions
by Terence Tao.

Fuglede conjecture holds for convex planar domains
by Alex Iosevich, Nets Katz, and Terry Tao.

Fuglede's conjecture for a union of two intervals
by I. Laba, Proc. Amer. Math. Soc. 129 (2001), no. 10, 2965--2972.

Spectral pairs in Cartesian coordinates
by Palle E.T. Jorgensen and Steen Pedersen, Journal of Fourier Analysis and Applications 5 (1999), 289--306.

Commuting self-adjoint extensions of symmetric operators defined from the partial derivatives
by Palle E.T. Jorgensen and Steen Pedersen, J. Math. Phys. 41 (2000), 8263--8278.

Orthogonal harmonic analysis and scaling of fractal measures
by Palle E.T. Jorgensen and Steen Pedersen, C. R. Acad. Sci. Paris Ser. I Math. 326 (1998), 301--306.

Dense analytic subspaces in fractal $L^{2}$-spaces
by Palle E. T. Jorgensen and Steen Pedersen, J. Analyse Math. 75 (1998), 185--228.

Harmonic analysis of fractal measures induced by representations of a certain C$^*$-algebra
by Palle E. T. Jorgensen and Steen Pedersen, Bull. Amer. Math. Soc. (N.S.) 29 (1993) 228-234.

Universal spectra and Tijdeman's conjecture on factorization of cyclic groups
by Jeffrey C. Lagarias and Sandor Szabo, J. Fourier Anal. Appl. 7 (2001), no. 1, 63--70.

A characterization of finite sets that tile the integers
by Andrew Granville, Izabella Laba, and Yang Wang

The study of translational tiling with Fourier analysis
by Mihail N. Kolountzakis

(T. Tao's 2003 arXiv postings)

This page was last modified on 15 Sep 2003 by Brian Treadway.


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