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Approximation of Besov Vectors by Paley–Wiener Vectors in Hilbert Spaces

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Approximation Theory XIII: San Antonio 2010

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 13))

Abstract

We develop an approximation theory in Hilbert spaces that generalizes the classical theory of approximation by entire functions of exponential type. The results advance harmonic analysis on manifolds and graphs, thus facilitating data representation, compression, denoising and visualization. These tasks are of great importance to machine learning, complex data analysis and computer vision.

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Acknowledgements

This paper was supported in part by the National Geospatial-Intelligence Agency University Research Initiative (NURI), grant HM1582-08-1-0019.

Author information

Authors and Affiliations

  1. Department of Mathematics, Temple University, Philadelphia, PA, 19122, USA

    Isaac Z. Pesenson

  2. Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA, 91125, USA

    Meyer Z. Pesenson

Authors
  1. Isaac Z. Pesenson
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  2. Meyer Z. Pesenson
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Corresponding author

Correspondence to Isaac Z. Pesenson .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, 37240, Tennessee, USA

    Marian Neamtu

  2. , Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, 37240, Tennessee, USA

    Larry Schumaker

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Pesenson, I.Z., Pesenson, M.Z. (2012). Approximation of Besov Vectors by Paley–Wiener Vectors in Hilbert Spaces. In: Neamtu, M., Schumaker, L. (eds) Approximation Theory XIII: San Antonio 2010. Springer Proceedings in Mathematics, vol 13. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0772-0_15

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