## International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia

Shilei Fan

### Characterization of Compact Open Spectral Sets in $\mathbb{Q}_p$

Abstract

In this talk, we characterize compact open spectral sets in the field $\mathbb{Q}_p$ of $p$-adic numbers. Moreover, we construct a class of singular spectral measures in $\mathbb{Q}_p$.