E. Zikkos

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math.FA2025

On Markushevich bases ${x^{λ_{n}}}_{n = 1}^{\infty}$ for their closed span in weighted $L^{2} (A)$ spaces over sets $A \subset [0, \infty)$ of positive Lebesgue measure, hereditary completeness, and moment problems

Elias Zikkos

Inspired by the work of Borwein and Erdelyi \cite{BE1997JAMS} on generalizations of Müntz's theorem, we investigate the properties of the system ${x^{λ_{n}}}_{n = 1}^{\infty}$ in wei…

math.FA2025

On Strong Markushevich bases ${t^{λ_{n}}}_{n = 1}^{\infty}$ in their closed span in $L^{2} (0, 1)$ and characterizing a subspace of $H^{2} (D)$

Elias Zikkos

Let $Λ = {λ_{n}}_{n = 1}^{\infty}$ be a strictly increasing sequence of positive real numbers such that $\sum_{n = 1}^{\infty} \frac{1}{λ _{n}} < \infty$ and $in f (λ_{n + 1} - λ_{n}) > 0$ . We investig…

On Markushevich bases {xλn​}n=1∞​ for their closed span in weighted L2(A) spaces over sets A⊂[0,∞) of positive Lebesgue measure, hereditary completeness, and moment problems

On Strong Markushevich bases {tλn​}n=1∞​ in their closed span in L2(0,1) and characterizing a subspace of H2(D)

On Markushevich bases ${x^{λ_{n}}}_{n = 1}^{\infty}$ for their closed span in weighted $L^{2} (A)$ spaces over sets $A \subset [0, \infty)$ of positive Lebesgue measure, hereditary completeness, and moment problems

On Strong Markushevich bases ${t^{λ_{n}}}_{n = 1}^{\infty}$ in their closed span in $L^{2} (0, 1)$ and characterizing a subspace of $H^{2} (D)$