The closed span of some Exponential system $E_{\Lambda }$ in the spaces $L^p(\gamma ,\beta )$, properties of a Biorthogonal family to $E_{\Lambda }$ in $L^2(\gamma ,\beta )$, Moment problems, and a differential equation of Carleson

Elias Zikkos

A set of complex numbers $\Lambda =\{{\lambda }_n,{\mu }_n{\}}_{n=1}^{\infty }$ with multiple terms \[ \{λ_n,μ_n\}_{n=1}^{\infty}:= \{\underbrace{λ_1,λ_1,\dots,λ_1}_{μ_1 - times}, \underbrace{λ_2,λ_2,\dot…