Abstract
We would like to propose a new method for the sampling theory which represents the functions by a finite number of point data in a very general reproducing kernel Hilbert space function space. The result may be looked as an ultimate sampling theorem in a reasonable sense. We shall give numerical experiments also as its evidences.
In Honor of Constantin Carathéodory
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Acknowledgements
The first and the second author are supported by JSPS KAKENHI Grant Number (C)(No. 26400198), (C)(No. 24540113), respectively.
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Fujiwara, H., Saitoh, S. (2016). The General Sampling Theory by Using Reproducing Kernels. In: Pardalos, P., Rassias, T. (eds) Contributions in Mathematics and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-31317-7_11
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DOI: https://doi.org/10.1007/978-3-319-31317-7_11
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