Sufficient conditions for the spectrality of self-affine measures with prime determinant

Jian-Lin Li. "Sufficient conditions for the spectrality of self-affine measures with prime determinant." Studia Mathematica 220.1 (2014): 73-86. <http://eudml.org/doc/286571>.

@article{Jian2014,
abstract = {Let $μ_\{M,D\}$ be a self-affine measure associated with an expanding matrix M and a finite digit set D. We study the spectrality of $μ_\{M,D\}$ when |det(M)| = |D| = p is a prime. We obtain several new sufficient conditions on M and D for $μ_\{M,D\}$ to be a spectral measure with lattice spectrum. As an application, we present some properties of the digit sets of integral self-affine tiles, which are connected with a conjecture of Lagarias and Wang.},
author = {Jian-Lin Li},
journal = {Studia Mathematica},
language = {eng},
number = {1},
pages = {73-86},
title = {Sufficient conditions for the spectrality of self-affine measures with prime determinant},
url = {http://eudml.org/doc/286571},
volume = {220},
year = {2014},
}

TY - JOUR
AU - Jian-Lin Li
TI - Sufficient conditions for the spectrality of self-affine measures with prime determinant
JO - Studia Mathematica
PY - 2014
VL - 220
IS - 1
SP - 73
EP - 86
AB - Let $μ_{M,D}$ be a self-affine measure associated with an expanding matrix M and a finite digit set D. We study the spectrality of $μ_{M,D}$ when |det(M)| = |D| = p is a prime. We obtain several new sufficient conditions on M and D for $μ_{M,D}$ to be a spectral measure with lattice spectrum. As an application, we present some properties of the digit sets of integral self-affine tiles, which are connected with a conjecture of Lagarias and Wang.
LA - eng
UR - http://eudml.org/doc/286571
ER -