{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,8]],"date-time":"2023-08-08T11:35:39Z","timestamp":1691494539464},"reference-count":29,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2016,1]]},"abstract":"<jats:p> Using the convolution of quaternion-valued functions on [Formula: see text], we define the ridgelet transform on square integrable quaternion-valued functions on [Formula: see text]. We also prove the properties of the ridgelet transform such as linearity, continuity, Parseval\u2019s identity and inversion formula. <\/jats:p>","DOI":"10.1142\/s0219691316500065","type":"journal-article","created":{"date-parts":[[2016,1,14]],"date-time":"2016-01-14T12:01:10Z","timestamp":1452772870000},"page":"1650006","source":"Crossref","is-referenced-by-count":13,"title":["Ridgelet transform for quarternion-valued functions"],"prefix":"10.1142","volume":"14","author":[{"given":"Lakshmanan","family":"Akila","sequence":"first","affiliation":[{"name":"Department of Mathematics, Alagappa University, Karaikudi-630 004, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rajakumar","family":"Roopkumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Central University of Kerala, Kasaragod-671 316, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,2,25]]},"reference":[{"key":"S0219691316500065BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2014.06.007"},{"key":"S0219691316500065BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2008.2007603"},{"key":"S0219691316500065BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2009.11.031"},{"key":"S0219691316500065BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.05.030"},{"key":"S0219691316500065BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691314600030"},{"key":"S0219691316500065BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-005-3605-3"},{"key":"S0219691316500065BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/78.960432"},{"key":"S0219691316500065BIB008","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1998.0248"},{"key":"S0219691316500065BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2005.02.003"},{"key":"S0219691316500065BIB010","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2008.924282"},{"key":"S0219691316500065BIB011","volume-title":"The Radon Transform and Some of Its Applications","author":"Deans S. R.","year":"1983"},{"key":"S0219691316500065BIB012","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141098344403"},{"key":"S0219691316500065BIB013","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2006.884955"},{"key":"S0219691316500065BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(04)90021-3"},{"key":"S0219691316500065BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691305000804"},{"key":"S0219691316500065BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-0603-9"},{"key":"S0219691316500065BIB017","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2013.2267775"},{"key":"S0219691316500065BIB018","doi-asserted-by":"publisher","DOI":"10.1109\/83.736680"},{"key":"S0219691316500065BIB019","doi-asserted-by":"publisher","DOI":"10.1109\/78.960426"},{"key":"S0219691316500065BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-012-0352-0"},{"key":"S0219691316500065BIB021","doi-asserted-by":"publisher","DOI":"10.1049\/el:19961331"},{"key":"S0219691316500065BIB022","doi-asserted-by":"publisher","DOI":"10.1049\/el:19980697"},{"key":"S0219691316500065BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2011.06.028"},{"key":"S0219691316500065BIB024","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2002.1014998"},{"key":"S0219691316500065BIB025","doi-asserted-by":"publisher","DOI":"10.1051\/0004-6361:20021571"},{"key":"S0219691316500065BIB026","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-010-0388-9"},{"key":"S0219691316500065BIB027","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2333734"},{"key":"S0219691316500065BIB028","doi-asserted-by":"publisher","DOI":"10.1109\/TIFS.2007.916275"},{"key":"S0219691316500065BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvcir.2006.10.002"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691316500065","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:58:43Z","timestamp":1565107123000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691316500065"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,1]]},"references-count":29,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2016,2,25]]},"published-print":{"date-parts":[[2016,1]]}},"alternative-id":["10.1142\/S0219691316500065"],"URL":"https:\/\/doi.org\/10.1142\/s0219691316500065","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,1]]}}}