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arxiv: 1510.08383 · v2 · pith:X2E7L77Fnew · submitted 2015-10-28 · 🧮 math.CV · math.FA

Interpolation Formulas With Derivatives in De Branges Spaces II

classification 🧮 math.CV math.FA
keywords spacesbrangesderivativesfunctionvaluesboundedconditionsderivative
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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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