| Contents |
| Second order differential operators of the form $d/d\mu d/dx$ are introduced on the real line. We discuss analytic properties and give spectral asymptotics for the case that $\mu$ is a self similar measure with compact support.
Then we extend the results to some more general cases such as random fractal measures and self conformal measures.
Moreover, we discuss eigenvalue problems on the real line with Cantor type set boundary and their discrete approximations. |
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