
Let \(\Lambda = \{ \lambda_i\}\) be a sequence on the unit disc \({\mathcal D}\) of the complex plane satisfying the Blaschke condition. Let \(K(w,z)= 1/(1-\overline{w}z)\) be the reproducing kernel in the Hardy space \(H^2({\mathcal D})\) and consider the family \(K_{\Lambda}= \{ K(\lambda_{i}, \cdot)\}\). The author presents different results concerning with geometric properties of \(K_{\Lambda}\).
complete family, reproducing kernel, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Schur's algorithm, Riesz bases, extreme point, unconditional basis, reproducing kernels, Schur-Nevanlinna coefficients, Blaschke condition, extreme points., Completeness problems, closure of a system of functions of one complex variable, minimal family, Analysis
complete family, reproducing kernel, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Schur's algorithm, Riesz bases, extreme point, unconditional basis, reproducing kernels, Schur-Nevanlinna coefficients, Blaschke condition, extreme points., Completeness problems, closure of a system of functions of one complex variable, minimal family, Analysis
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