Interpolation Formulas With Derivatives in De Branges Spaces II

2015/10/28 by Gonçalves, Felipe, Littmann, Friedrich · 1 citation
#30D10 #41A05 #42C15 #46E22 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1510.08383

Abstract

We investigate necessary and sufficient conditions under which entire functions in de Branges spaces can be recovered from function values and values of derivatives. Our main focus is on spaces with a structure function whose logarithmic derivative is bounded in the upper half-plane.

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• Dynamical sampling, derivatives, and interpolation formulas in the Paley--Wiener space

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