Objective: The obtention of the Hessenberg matrix associated to a self-similar measure with compact support in the complex plane in two di_erent ways.
Outline of the talk:
1 Preliminaries. Moment and Hessenberg matrices. Self-similar measures.
2 Moment matrices of self-similar measures. Fixed point theorem for moment matrices of self-similar measures (EST2007).Cholesky factorization.
3 Hesssenberg matrix of a sum of measures (generalization of Mantica's spectral techniques). Hessenberg matrix associated to a self-similar measure
