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Consistent Sampling Approximations in Abstract Hilbert Spacesopen access
- Authors
- Kang, Sinuk; Kwon, Kil Hyun; Lee, Dae Gwan
- Issue Date
- Jul-2024
- Publisher
- MDPI
- Keywords
- consistent sampling; generalized sampling; oblique projection; frame
- Citation
- AXIOMS, v.13, no.7
- Journal Title
- AXIOMS
- Volume
- 13
- Number
- 7
- ISSN
- 2075-1680
2075-1680
- Abstract
- This paper considers generalized consistent sampling and reconstruction processes in an abstract separable Hilbert space. Using an operator-theoretical approach, quasi-consistent and consistent approximations with optimal properties, such as possessing the minimum norm or being closest to the original vector, are derived. The results are illustrated with several examples.
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Collections - Department of Applied Mathematics > 1. Journal Articles
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