The General Sampling Theory by Using Reproducing Kernels

Hiroshi Fujiwara () and Saburou Saitoh ()
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Hiroshi Fujiwara: Kyoto University, Graduate School of Informatics
Saburou Saitoh: Institute of Reproducing Kernels

A chapter in Contributions in Mathematics and Engineering, 2016, pp 185-204 from Springer

Abstract: 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.

Keywords: Reproducing Kernel; General Reproducing Kernel Hilbert Space; Paley-Wiener Space; General Sampling Theorem; General Linear Problem (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31317-7_11

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DOI: 10.1007/978-3-319-31317-7_11

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