Counting function estimates for coherent frames and Riesz sequences
E. Papageorgiou, J.T. van Velthoven, Annali Di Matematica Pura Ed Applicata (1923 -) 204 (2024) 1469–1491.
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Journal Article
| Published
| English
Author
Papageorgiou, Effie;
van Velthoven, Jordy Timo
Abstract
<jats:title>Abstract</jats:title>
<jats:p>We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary density conditions for coherent frames and Riesz sequences for general unimodular amenable groups, while providing more precise estimates under additional localization conditions on the coherent system for groups of polynomial growth.
</jats:p>
Publishing Year
Journal Title
Annali di Matematica Pura ed Applicata (1923 -)
Volume
204
Issue
4
Page
1469-1491
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Papageorgiou E, van Velthoven JT. Counting function estimates for coherent frames and Riesz sequences. Annali di Matematica Pura ed Applicata (1923 -). 2024;204(4):1469-1491. doi:10.1007/s10231-024-01535-y
Papageorgiou, E., & van Velthoven, J. T. (2024). Counting function estimates for coherent frames and Riesz sequences. Annali Di Matematica Pura Ed Applicata (1923 -), 204(4), 1469–1491. https://doi.org/10.1007/s10231-024-01535-y
@article{Papageorgiou_van Velthoven_2024, title={Counting function estimates for coherent frames and Riesz sequences}, volume={204}, DOI={10.1007/s10231-024-01535-y}, number={4}, journal={Annali di Matematica Pura ed Applicata (1923 -)}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Effie and van Velthoven, Jordy Timo}, year={2024}, pages={1469–1491} }
Papageorgiou, Effie, and Jordy Timo van Velthoven. “Counting Function Estimates for Coherent Frames and Riesz Sequences.” Annali Di Matematica Pura Ed Applicata (1923 -) 204, no. 4 (2024): 1469–91. https://doi.org/10.1007/s10231-024-01535-y.
E. Papageorgiou and J. T. van Velthoven, “Counting function estimates for coherent frames and Riesz sequences,” Annali di Matematica Pura ed Applicata (1923 -), vol. 204, no. 4, pp. 1469–1491, 2024, doi: 10.1007/s10231-024-01535-y.
Papageorgiou, Effie, and Jordy Timo van Velthoven. “Counting Function Estimates for Coherent Frames and Riesz Sequences.” Annali Di Matematica Pura Ed Applicata (1923 -), vol. 204, no. 4, Springer Science and Business Media LLC, 2024, pp. 1469–91, doi:10.1007/s10231-024-01535-y.
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