Spectral measures with arbitrary Hausdorff dimensions
Abbreviated Journal Title
J. Funct. Anal.
Spectral measure; Homogeneous Cantor set; Hausdorff dimension; Bernoulli; convolution; SELF-AFFINE TILES; CANTOR MEASURES; FOURIER-SERIES; BASES; SETS; CONJECTURE; PROPERTY; WAVELETS; FRAMES; MOCK; Mathematics
In this paper, we consider spectral properties of Riesz product measures supported on homogeneous Cantor sets and we show the existence of spectral measures with arbitrary Hausdorff dimensions, including non-atomic zero-dimensional spectral measures and one-dimensional singular spectral measures. (C) 2015 Elsevier Inc. All rights reserved.
Journal of Functional Analysis
"Spectral measures with arbitrary Hausdorff dimensions" (2015). Faculty Bibliography 2010s. 6485.