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Interpolation and random interpolation in de Branges–Rovnyak spaces.

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Názov: Interpolation and random interpolation in de Branges–Rovnyak spaces.
Autori: Hartmann, Andreas1 (AUTHOR), Lamberti, Giuseppe1 (AUTHOR) giuseppe.lamberti@math.u-bordeaux.fr
Zdroj: Journal of the London Mathematical Society. Oct2025, Vol. 112 Issue 4, p1-21. 21p.
Predmety: *INTERPOLATION, *INTERPOLATION spaces, *MATHEMATICAL functions, *MATHEMATICS theorems, *MATHEMATICAL sequences
Abstrakt: The aim of this paper is to characterize universal and multiplier interpolating sequences for de Branges–Rovnyak spaces H(b)$\mathcal {H}(b)$ where the defining function b$b$ is a general non‐extreme rational function. Our results carry over to recently introduced higher order local Dirichlet spaces and thus generalize previously known results in classical local Dirichlet spaces. In this setting, we also investigate random interpolating sequences with prescribed radii, providing a 0‐1 law. [ABSTRACT FROM AUTHOR]
Databáza: Academic Search Index
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Abstrakt:The aim of this paper is to characterize universal and multiplier interpolating sequences for de Branges–Rovnyak spaces H(b)$\mathcal {H}(b)$ where the defining function b$b$ is a general non‐extreme rational function. Our results carry over to recently introduced higher order local Dirichlet spaces and thus generalize previously known results in classical local Dirichlet spaces. In this setting, we also investigate random interpolating sequences with prescribed radii, providing a 0‐1 law. [ABSTRACT FROM AUTHOR]
ISSN:00246107
DOI:10.1112/jlms.70323