{"year":"2024","page":"1469-1491","publication":"Annali di Matematica Pura ed Applicata (1923 -)","publication_status":"published","user_id":"100325","publication_identifier":{"issn":["0373-3114","1618-1891"]},"date_created":"2026-01-06T09:33:28Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n          <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. \r\n</jats:p>"}],"status":"public","doi":"10.1007/s10231-024-01535-y","_id":"63500","intvolume":"       204","title":"Counting function estimates for coherent frames and Riesz sequences","citation":{"chicago":"Papageorgiou, Effie, and Jordy Timo van Velthoven. “Counting Function Estimates for Coherent Frames and Riesz Sequences.” <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i> 204, no. 4 (2024): 1469–91. <a href=\"https://doi.org/10.1007/s10231-024-01535-y\">https://doi.org/10.1007/s10231-024-01535-y</a>.","bibtex":"@article{Papageorgiou_van Velthoven_2024, title={Counting function estimates for coherent frames and Riesz sequences}, volume={204}, DOI={<a href=\"https://doi.org/10.1007/s10231-024-01535-y\">10.1007/s10231-024-01535-y</a>}, 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} }","short":"E. Papageorgiou, J.T. van Velthoven, Annali Di Matematica Pura Ed Applicata (1923 -) 204 (2024) 1469–1491.","apa":"Papageorgiou, E., &#38; van Velthoven, J. T. (2024). Counting function estimates for coherent frames and Riesz sequences. <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>, <i>204</i>(4), 1469–1491. <a href=\"https://doi.org/10.1007/s10231-024-01535-y\">https://doi.org/10.1007/s10231-024-01535-y</a>","ama":"Papageorgiou E, van Velthoven JT. Counting function estimates for coherent frames and Riesz sequences. <i>Annali di Matematica Pura ed Applicata (1923 -)</i>. 2024;204(4):1469-1491. doi:<a href=\"https://doi.org/10.1007/s10231-024-01535-y\">10.1007/s10231-024-01535-y</a>","mla":"Papageorgiou, Effie, and Jordy Timo van Velthoven. “Counting Function Estimates for Coherent Frames and Riesz Sequences.” <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>, vol. 204, no. 4, Springer Science and Business Media LLC, 2024, pp. 1469–91, doi:<a href=\"https://doi.org/10.1007/s10231-024-01535-y\">10.1007/s10231-024-01535-y</a>.","ieee":"E. Papageorgiou and J. T. van Velthoven, “Counting function estimates for coherent frames and Riesz sequences,” <i>Annali di Matematica Pura ed Applicata (1923 -)</i>, vol. 204, no. 4, pp. 1469–1491, 2024, doi: <a href=\"https://doi.org/10.1007/s10231-024-01535-y\">10.1007/s10231-024-01535-y</a>."},"author":[{"full_name":"Papageorgiou, Effie","last_name":"Papageorgiou","first_name":"Effie"},{"last_name":"van Velthoven","first_name":"Jordy Timo","full_name":"van Velthoven, Jordy Timo"}],"volume":204,"issue":"4","language":[{"iso":"eng"}],"publisher":"Springer Science and Business Media LLC","type":"journal_article","date_updated":"2026-01-06T09:38:07Z"}