| Abstrakt: |
Abstract: Starting from Lagrange interpolation of the exponential function e^{z} in the complex plane, and using an integral representation formula for holomorphic functions on Banach spaces, we obtain Lagrange interpolating polynomials for representable functions defined on a Banach space E. Given such a representable entire funtion f: E → C, in order to study the approximation problem and the uniform convergence of these polynomials to f on bounded sets of E, we present a sufficient growth condition on the interpolating sequence. |
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