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Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces

Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces

Abstract The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces of entire functions which includes as a particular case the classical …