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Sampling in Reproducing Kernel Banach Spaces

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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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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911, Leganés – Madrid, Spain

    Antonio G. García

  2. Departamento de Matemática Aplicada E.T.S.I.T, Universidad Politécnica de Madrid, Avda. Complutense 30, 28040, Madrid, Spain

    Alberto Portal

Authors
  1. Antonio G. García
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  2. Alberto Portal
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Corresponding author

Correspondence to Antonio G. García.

Additional information

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

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