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- W1526174141 abstract "In this paper, we give an integral representation for the boundary values of derivatives of functions of the de Branges--Rovnyak spaces $HH(b)$, where $b$ is in the unit ball of $H^infty(CC_+)$. In particular, we generalize a result of Ahern--Clark obtained for functions of the model spaces $K_b$, where $b$ is an inner function. Using hypergeometric series, we obtain a nontrivial formula of combinatorics for sums of binomial coefficients. Then we apply this formula to show the norm convergence of reproducing kernel $k_{omega,n}^b$ of the evaluation of $n$-th derivative of elements of $HH(b)$ at the point $omega$ as it tends radially to a point of the real axis." @default.
- W1526174141 created "2016-06-24" @default.
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- W1526174141 date "2008-02-06" @default.
- W1526174141 modified "2023-09-27" @default.
- W1526174141 title "Integral representation of the $n$-th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel" @default.
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