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… Click to show full 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.
Keywords:
approximations abstract;
sampling approximations;
hilbert spaces;
abstract hilbert;
consistent sampling
Journal Title: Axioms
Year Published: 2024
Link to full text (if available)
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Journal Title: Axioms
Year Published: 2024
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!