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@article{faucris.289290147,
abstract = {The exponential sampling formula has some limitations. By incorporating a Mellin bandlimited multiplier, we extend it to a wider class of functions with a series that converges faster. This series is a generalized exponential sampling series with some interesting properties. Moreover, under a side condition, any generalized exponential sampling series that is interpolating can be generated by a Mellin bandlimited multiplier. For an error analysis, we consider a truncated series with 2 N+ 1 terms and look for a highest speed of convergence as N→ ∞. We show by using a certain non-bandlimited multiplier, which introduces in addition an aliasing error, that we can achieve a higher rate of convergence to the function, namely O(e^{-}^{α}^{N}) with α> 0 , than with the truncated series of an exact formula. The results are illustrated by three examples.},
author = {Bardaro, Carlo and Mantellini, Ilaria and Schmeißer, Gerhard},
doi = {10.1007/s43670-023-00048-8},
faupublication = {yes},
journal = {Sampling Theory, Signal Processing, and Data Analysis},
keywords = {Exponential sampling; Mellin–Bernstein spaces; Mellin–Paley–Wiener spaces; Multipliers; Polar-analytic functions},
note = {CRIS-Team Scopus Importer:2023-02-17},
peerreviewed = {Yes},
title = {{Exponential} sampling with a multiplier},
volume = {21},
year = {2023}
}