Scalar spectral measures associated with an Operator-Fractal

Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman

We examine the operator $U_5$ defined on $L^2({\mu }_{\frac{1}{4}})$ where ${\mu }_{\frac{1}{4}}$ is the 1/4 Cantor measure. The operator $U_5$ scales the elements of the canonical exponential spect…