Abstract
We introduce an interpolation formula for holomorphic functions and prove its convergence pointwise under very general condition. We obtain also a recovery formula for Taylor coefficients from discrete samples.
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Tuan, V.K., Boumenir, A. (2015). Recovery of Holomorphic Functions and Taylor Coefficients by Sampling. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_59
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DOI: https://doi.org/10.1007/978-3-319-12577-0_59
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12576-3
Online ISBN: 978-3-319-12577-0
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