Spectral Eigenvalue Problems of Self-Similar Measures with Consecutive Digits

Let k,b ≥ 2 be two positive integers. For D = k{0, 1,…,b − 1}, it is well known that the self-similar measure μk,b defined by μk,b(⋅) = 1 b∑i=0b−1μ k,b(kb(⋅) − ki) is a spectral measure with a spec...