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