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

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


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.


Hilbert Space Entire Function Besov Space Exponential Type Selfadjoint Operator 
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This paper was supported in part by the National Geospatial-Intelligence Agency University Research Initiative (NURI), grant HM1582-08-1-0019.


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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsTemple UniversityPhiladelphiaUSA
  2. 2.Department of Computing and Mathematical SciencesCalifornia Institute of TechnologyPasadenaUSA

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