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Sampling and interpolation of bandlimited functions

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ABSTRACT In this article, we discuss the Lagrange interpolation of the entire functions on the real line, which is motivated by the sampling theory. We first define the uniform distribution… Click to show full abstract

ABSTRACT In this article, we discuss the Lagrange interpolation of the entire functions on the real line, which is motivated by the sampling theory. We first define the uniform distribution of interpolation (sampling) nodes. Then we prove that the sampled signal (or function interpolated) can be reconstructed from the sampling (or interpolation) for some bandlimited entire functions

Keywords: interpolation bandlimited; bandlimited functions; sampling interpolation; interpolation

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019

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