Abstract
It is well-known the close relationship between reproducing kernel Hilbert spaces and sampling theory. The concept of reproducing kernel Hilbert space has been recently generalized to the case of Banach spaces. In this paper, some sampling results are proven in this new setting of reproducing kernel Banach spaces.
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This work has been supported by the grant MTM2009–08345 from the D.G.I. of the Spanish Ministerio de Ciencia y Tecnología.
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García, A.G., Portal, A. Sampling in Reproducing Kernel Banach Spaces. Mediterr. J. Math. 10, 1401–1417 (2013). https://doi.org/10.1007/s00009-012-0234-0
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DOI: https://doi.org/10.1007/s00009-012-0234-0