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Contrary to what happens with matrix-valued Bessel sequences in [Formula: see text], it is not true that the lower frame condition for [Formula: see text] can be carried to its associated atomic space [Formula: see text]. We give the construction of matrix-valued frames from strongly disjoint Bessel sequences associated with atomic functions. A necessary and sufficient condition for the existence of matrix-valued tight frames is given. Matrix-valued dual frame pairs of the space [Formula: see text] are presented. Numerical examples are given to support our results.<\/jats:p>","DOI":"10.1142\/s0219691325500377","type":"journal-article","created":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T13:00:09Z","timestamp":1761915609000},"source":"Crossref","is-referenced-by-count":1,"title":["On matrix-valued frames over measure spaces"],"prefix":"10.1142","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8045-9975","authenticated-orcid":false,"given":"Khalil","family":"Ahmad","sequence":"first","affiliation":[{"name":"Department of Mathematics, School of Physical and Molecular Science, Al-Falah University, Faridabad 121004, Haryana, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3197-8277","authenticated-orcid":false,"given":"Mohammed","family":"Jamali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Physical and Molecular Science, Al-Falah University, Faridabad 121004, Haryana, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-7839-3544","authenticated-orcid":false,"given":"Pankaj","family":"Sharma","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pondicherry University, Puducherry 605014, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-8714-6650","authenticated-orcid":false,"given":"Shyam","family":"Lal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Physical and Molecular Science, Al-Falah University, Faridabad 121004, Haryana, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2025,11,14]]},"reference":[{"key":"S0219691325500377BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/MEMB.2009.934244"},{"key":"S0219691325500377BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2008.06.024"},{"key":"S0219691325500377BIB003","doi-asserted-by":"publisher","DOI":"10.1006\/aphy.1993.1016"},{"issue":"1","key":"S0219691325500377BIB004","first-page":"13","volume":"7","author":"Antol\u00edn A. 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