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The Spectral Set Conjecture and Multiplicative Properties of Roots of Polynomials

I. Łaba

Source record

Source: Crossref

Published: Jun 1, 2002

DOI: 10.1112/s0024610702003149

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Source abstract

Fuglede's conjecture states that a set Ω⊂R n tiles R by translations if and only if L 2 (Ω) has an orthogonal basis of exponentials. New partial results are obtained supporting the conjecture in dimension 1.

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The Spectral Set Conjecture and Multiplicative Properties of Roots of Polynomials — Mathematical Frontier Network