Sparse Müntz systems are hereditarily complete in their closed span, yielding spectral synthesis for a new operator class and an ℓ²-coefficient characterization of H^2(D,Λ).
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On Strong Markushevich bases $\{t^{\lambda_n}\}_{n=1}^{\infty}$ in their closed span in $L^2 (0, 1)$ and characterizing a subspace of $H^2 (\mathbb{D})$
Sparse Müntz systems are hereditarily complete in their closed span, yielding spectral synthesis for a new operator class and an ℓ²-coefficient characterization of H^2(D,Λ).