Article
The Dual Spectral Set Conjecture
Proceedings of the American Mathematical Society
Document Type
Article
Publication Date
1-1-2004
Disciplines
Abstract
Suppose that Λ = (aZ + b) ∪ (cZ + d) where a, b, c, d are real numbers such that a ≠ 0 and c ≠ 0. The union is not assumed to be disjoint. It is shown that the translates Ω + λ, λ is an element of Λ, tile the real line for some bounded measurable set Ω if and only if the exponentials eλ(x) = ei2πλx, λ is an element of Λ, form an orthogonal basis for some bounded measurable set Ω'.
DOI
10.1090/S0002-9939-04-07403-9
Citation Information
Steen Pedersen. "The Dual Spectral Set Conjecture" Proceedings of the American Mathematical Society Vol. 132 Iss. 7 (2004) p. 2095 - 2101 ISSN: 0002-9939 Available at: http://works.bepress.com/steen_pedersen/6/
First published in Proceedings of the American Mathematical Society 132.7 (2004), published by the American Mathematical Society.