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| Title: | Cyclic frames in finite-dimensional Hilbert spaces |
| Authors: | Redhu, Navneet Shukla, Niraj K. |
| Keywords: | Cyclic Frames;Dynamical Frames;Erasures;Finite Dimensional Hilbert Spaces;Cyclic Frame;Dynamical Frame;Erasure;Finite Dimensional;Finite Dimensional Hilbert Space;Hilbert;Property;Hilbert Spaces |
| Issue Date: | 2026 |
| Publisher: | Elsevier Inc. |
| Citation: | Christensen, O., Redhu, N., & Shukla, N. K. (2026). Cyclic frames in finite-dimensional Hilbert spaces. Linear Algebra and Its Applications, 728, 63–81. https://doi.org/10.1016/j.laa.2025.08.016 |
| Abstract: | Generalizing a definition by Kalra [10], the purpose of this paper is to analyze cyclic frames in finite-dimensional Hilbert spaces. Cyclic frames form a subclass of the dynamical frames introduced and analyzed in detail by Aldroubi et al. in [1] and subsequent papers they are particularly interesting due to their attractive properties in the context of erasure problems. By applying an alternative approach, we are able to shed new light on general dynamical frames as well as cyclic frames. In particular, we provide a characterization of dynamical frames, which in turn leads to a characterization of cyclic frames. © 2025 Elsevier B.V., All rights reserved. |
| URI: | https://dx.doi.org/10.1016/j.laa.2025.08.016 https://dspace.iiti.ac.in:8080/jspui/handle/123456789/16792 |
| ISSN: | 0024-3795 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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