2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62221A probability measure in R^d 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.10 pagesClassical Analysis and ODEsFunctional AnalysisOn spectral Cantor measurestext