Published October 20, 2011
| Submitted
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Approximation of Besov Vectors by Paley-Wiener Vectors in Hilbert Spaces
- Creators
- Pesenson, Isaac Z.
- Pesenson, Meyer Z.
- Others:
- Neamtu, Marian
- Schumaker, Larry
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.
Additional Information
© 2012 Springer Science+Business Media, LLC. First Online: 20 October 2011. This paper was supported in part by the National Geospatial-Intelligence Agency University Research Initiative (NURI), grant HM1582-08-1-0019.Attached Files
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Additional details
- Eprint ID
- 103349
- DOI
- 10.1007/978-1-4614-0772-0_15
- Resolver ID
- CaltechAUTHORS:20200520-092646671
- HM1582-08-1-0019
- National Geospatial-Intelligence Agency
- Created
-
2020-05-20Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Series Name
- Springer Proceedings in Mathematics
- Series Volume or Issue Number
- 13