Yan-Song Fu

collaborators

2 papers

math.CA2026

Characterization on spectra of self-similar measures and the dual spectral set conjecture

Li-Xiang An, Yan-Song Fu, Ming-Xuan Jiang

A discrete set $Λ$ is called a {\it spectrum} of a Borel probability measure $μ$ if the exponential functions ${e^{2 π i ⟨ λ, x ⟩} : λ \in Λ}$ form an orthonormal basis for $…

math.FA2024

Spectral Eigen-subspace and Tree Structure for a Cantor Measure

Guotai Deng, Yan-Song Fu, Qingcan Kang

In this work we investigate the question of constructions of the possible Fourier bases $E (Λ) = {e^{2 π iλ x} : λ \in Λ}$ for the Hilbert space $L^{2} (μ_{4})$ , where $μ_{4}$ is the standard mi…