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 $E(\hat{I}›)=\{e^{2\ddot{I}€i\hat{I}»x}:\hat{I}»\in \hat{I}›\}$ for the Hilbert space $L^2(\hat{I}{¼}_4)$, where $\hat{I}{¼}_4$ is the stan…