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Concentration
inequalities for Paley–Wiener spaces
Syed Husain and Friedrich Littmann |
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Vol. 329 (2024), No. 2, 201–215
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Abstract |
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We consider how much of the mass of an element in a Paley–Wiener space can be concentrated on a given set. We seek bounds in terms of relative densities of the given set. We extend a result of Donoho and Logan from 1992 in one dimension and consider similar results in higher dimensions. |
Keywords
entire functions of exponential type, bandlimiting, signal
recovery, L1 recovery method, Logan's phenomenon, Nyquist
density
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Mathematical Subject Classification
Primary: 42A05, 94A12
Secondary: 30D10, 42A38, 94A11
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Milestones
Received: 6 January 2024
Accepted: 18 May 2024
Published: 6 July 2024
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Authors |
| Syed Husain | |
| Department of Mathematics Truman State University Kirksville, MO United States |
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| Friedrich Littmann | |
| Department of Mathematics North Dakota State University Fargo, ND United States |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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