Universal spectra, universal tiling sets and the spectral set conjecture
نویسندگان
چکیده
منابع مشابه
Universal Spectra , Universal Tiling Sets and Thespectral Set
A subset of R d with nite positive Lebesgue measure is called a spectral set if there exists a subset R such that E := n e i2h;xi : 2 o form an orthogonal basis of L 2 ((). The set is called a spectrum of the set. The Spectral Set Conjecture states that is a spectral set if and only if tiles R d by translation. In this paper we prove the Spectral Set Conjecture for a class of sets R. Speciicall...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2001
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-14325