2001/09/19 by Izabella Łaba, Izabella Laba, Yang Wang +2 · 2 citations
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.CA #math.FA
paper · pdf · doi:10.48550/arxiv.math/0109126
10 pages
arxiv created 2001/09/19 · openalex publication_date 2001/09/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A probability measure in Rd is called a spectral measure if it has an orthonormal basis consisting of exponentials. In this paper we study spectral Cantor measures. We establish a large class of such measures and give a necessary and sufficient condition on the spectrum of a spectral Cantor measure. This extends the earlier results of Jorgensen-Pedersen and Strichartz.