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Process."],"published-print":{"date-parts":[[2022,7]]},"abstract":"<jats:p>With the aim to achieve an efficient time-frequency representations of higher dimensional signals, we introduce the notion of free metaplectic wavelet transform in [Formula: see text] by employing the convolution structure of the free-metaplectic transforms. The preliminary analysis encompasses the derivation of fundamental properties of the novel integral transform including the orthogonality and inversion formula. Subsequently, Heisenberg\u2019s and Pitt\u2019s inequalities are also obtained. To extend the scope of the study, a detailed analysis of the double windowed wavelet transform in the free-metaplectic domain is presented at the end.<\/jats:p>","DOI":"10.1142\/s0219691322500059","type":"journal-article","created":{"date-parts":[[2022,3,9]],"date-time":"2022-03-09T00:39:13Z","timestamp":1646786353000},"source":"Crossref","is-referenced-by-count":10,"title":["Free metaplectic wavelet transform in L2(\u211dn)"],"prefix":"10.1142","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8461-869X","authenticated-orcid":false,"given":"Firdous A.","family":"Shah","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Kashmir, South Campus, Anantnag 192101, Jammu and Kashmir, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huzaifa L.","family":"Qadri","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Kashmir, South Campus, Anantnag 192101, Jammu and Kashmir, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Waseem Z.","family":"Lone","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Kashmir, South Campus, Anantnag 192101, Jammu and Kashmir, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,4,12]]},"reference":[{"key":"S0219691322500059BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/78.330368"},{"key":"S0219691322500059BIB002","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691316500156"},{"key":"S0219691322500059BIB003","first-page":"1897","volume":"123","author":"Beckner W.","year":"1995","journal-title":"Proc. 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