4 papers
Nonexistence of Frame Measures for Separated Uniform Consecutive-Digit Bernoulli Convolutions
Xiao-Ye Fu, Wei-Jie Wang
We investigate the existence problem of frame measures for uniform consecutive-digit Bernoulli convolutions under the separated scaling condition. Given parameters and $0…
Turán problem on the union of three intervals of equal length
Xiao-Ye Fu, Yue-Kun Li, Wei-Jie Wang +1
This paper addresses the Turán extremal problem on the symmetric three-interval set , . We establish a discrete approximation…
Rational Spectra for Finite Hadamard Pairs and Bounded Spectral Sets on the real line
Xiao-Ye Fu, Zi-Jian Song
We prove that every finite spectral pair \((A,Γ)\) with \(A\subset\mathbb Z\), \(Γ\subset\mathbb R/\mathbb Z\), and \(0\inΓ\) has a rational spectrum, that is, \(Γ\subset\mathbb Q/…
A Walsh-Quotient Obstruction for Fourier Frames on Odd Reciprocal-Power Bernoulli Convolutions
Xiao-Ye Fu, Zi-Jian Song, Wei-Jie Wang
We introduce a Walsh--quotient obstruction to study Fourier-frame existence for symmetric two-branch Bernoulli convolutions \[ μ_{ρ,d} =\ast_{j=1}^{\infty} \frac12\bigl(δ_{-dρ^{j}/…