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Random Sequences Interpolating with Probability One
Bulletin of the London Mathematical Society, 1994For a sequence \(\{r_n\}_{n \geq 0}\) of points in \((0,1)\) the author considers the question of whether the sequence \(\{r_n e^{i \theta_n}\}_{n \geq 0}\) of points of the unit disk is interpolating for \(H^\infty\) for almost all choices of \(\theta_n\).
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Interpolating and Sampling Sequences
2012In this chapter, we characterize interpolating and sampling sequences for the Fock spaces F α p . The characterizations are based on a certain notion of uniform density on the complex plane. So we will first spend some time discussing this geometric notion of density which also has applications in other areas of analysis and physics.
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Interpolating Sequences and Ideals in Dirichlet Spaces of Bounded Functions
, 2017Jun Yang, Q. Fan
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Interpolating sequences and extremal problems
2015In 1958 Carleson proved that a sequence is interpolating if it is uniformly separated, later in 1983 Peter Jones gave a simple constructive proof in [JON] which is stunning in his time. On the other hand, when a sequence is not uniformly separated, Garnett gave a sharp positive result in [GAR2].
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Interpolating Sequences in Harmonically Weighted Dirichlet Spaces
, 2011G. Chacón
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Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls
, 2006N. Arcozzi, R. Rochberg, E. Sawyer
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On Hermite-Fejér interpolation sequences
Acta Mathematica Academiae Scientiarum Hungaricae, 1972openaire +2 more sources
Interpolating Sequences in the Maximal Ideal Space of H ∞ II
, 1991K. Izuchi
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