An application of the density method in the spectra-tilings relations
Yao Hai-hong · Basic Sciences Journal of Textile Universities · 2013
Spectral pairs have certain relations to tiling pairs.Both have a direct application in the theory of wavelets and in the theory of trigonometric approximation.In the present paper we give an application of the density method in spectra-tilings relations.The research here is based on the fundamental properties of spectra and tilings.By applying the density method,the Lebesgue measure ofsets in the spectra-tilings relations is estimated.This is necessary for the further investigate on the relations between spectra and tilings.The research here is based on the fundamental properties of spectra and tilings,and is closely related to the dual Fuglede conjecture.