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Weighted Uniform Convergence of Entire Grünwald Operators on the Real Line

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We consider weighted uniform convergence of entire analogues of the Grunwald operator on the real line. The main result deals with convergence of entire interpolations of exponential type $\tau>0$ at… Click to show full abstract

We consider weighted uniform convergence of entire analogues of the Grunwald operator on the real line. The main result deals with convergence of entire interpolations of exponential type $\tau>0$ at zeros of Bessel functions in spaces with homogeneous weights. We discuss extensions to Grunwald operators from de Branges spaces.

Keywords: convergence; uniform convergence; real line; convergence entire; weighted uniform

Journal Title: Computational Methods and Function Theory
Year Published: 2021

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