{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:18:32Z","timestamp":1753885112837,"version":"3.41.2"},"reference-count":25,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","funder":[{"name":"SERB DST","award":["MTR\/2021\/000266"],"award-info":[{"award-number":["MTR\/2021\/000266"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2023,7]]},"abstract":"<jats:p> In this paper, the inversion formula and the continuity of the continuous Bessel wavelet transform of distributions in [Formula: see text]- type space are investigated. For the uniqueness of the inversion formula, the Bessel wavelet kernel of nonvanishing moments is considered. <\/jats:p>","DOI":"10.1142\/s021969132250062x","type":"journal-article","created":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T09:15:17Z","timestamp":1669886117000},"source":"Crossref","is-referenced-by-count":0,"title":["The Bessel wavelet transform of distributions in DL2\u2032-type space"],"prefix":"10.1142","volume":"21","author":[{"family":"Amit","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221005, India"}]},{"given":"Jay Singh","family":"Maurya","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221005, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6400-8939","authenticated-orcid":false,"given":"Santosh Kumar","family":"Upadhyay","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221005, India"}]}],"member":"219","published-online":{"date-parts":[[2023,1,14]]},"reference":[{"issue":"1","key":"S021969132250062XBIB001","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1002\/mana.19821080116","volume":"108","author":"Altenburg G.","year":"1982","journal-title":"Math. Nachr."},{"issue":"3","key":"S021969132250062XBIB002","doi-asserted-by":"crossref","first-page":"561","DOI":"10.4171\/ZAA\/1256","volume":"24","author":"Betancor J. J.","year":"2005","journal-title":"Z. Anal. Anwendungen"},{"issue":"1","key":"S021969132250062XBIB003","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1090\/S0002-9939-00-05583-0","volume":"129","author":"Betancor J.","year":"2001","journal-title":"Proc. Amer. Math. Soc."},{"issue":"3","key":"S021969132250062XBIB004","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/s10474-006-0052-6","volume":"111","author":"Betancor J. J.","year":"2006","journal-title":"Acta Math. Hungar."},{"key":"S021969132250062XBIB005","first-page":"67","volume":"58","author":"Cholewinski F. M.","year":"1965","journal-title":"Mem. Amer. Math. Soc."},{"issue":"3","key":"S021969132250062XBIB006","first-page":"337","volume":"27","author":"Dube L. S.","year":"1975","journal-title":"Tohoku Math. J. (2)"},{"key":"S021969132250062XBIB007","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1090\/S0002-9947-1965-0185379-4","volume":"116","author":"Haimo D. T.","year":"1965","journal-title":"Trans. Amer. Math. Soc."},{"issue":"1","key":"S021969132250062XBIB008","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/BF02786854","volume":"8","author":"Hirschman I. I.","year":"1960","journal-title":"J. Anal. Math."},{"issue":"3","key":"S021969132250062XBIB009","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1137\/0501028","volume":"1","author":"Koh E. L.","year":"1970","journal-title":"SIAM J. Math. Anal."},{"issue":"4","key":"S021969132250062XBIB010","doi-asserted-by":"crossref","first-page":"2250001","DOI":"10.1142\/S0219691322500011","volume":"20","author":"Maurya J. S.","year":"2022","journal-title":"Int. J. Wavelets Multiresolut. Inf. Process."},{"journal-title":"Fractals","year":"2022","author":"Maurya J. S.","key":"S021969132250062XBIB011"},{"issue":"6","key":"S021969132250062XBIB012","doi-asserted-by":"crossref","first-page":"2005","DOI":"10.1216\/RMJ-2019-49-6-2005","volume":"49","author":"Pandey J. N.","year":"2019","journal-title":"Rocky Mountain J. Math."},{"issue":"7","key":"S021969132250062XBIB013","doi-asserted-by":"crossref","first-page":"1106","DOI":"10.3390\/sym13071106","volume":"13","author":"Pandey J. N.","year":"2021","journal-title":"Symmetry"},{"issue":"2","key":"S021969132250062XBIB014","doi-asserted-by":"crossref","first-page":"235","DOI":"10.3390\/sym11020235","volume":"11","author":"Pandey J. N.","year":"2019","journal-title":"Symmetry"},{"issue":"1","key":"S021969132250062XBIB015","doi-asserted-by":"crossref","first-page":"1623647","DOI":"10.1080\/25742558.2019.1623647","volume":"6","author":"Pandey J. N.","year":"2019","journal-title":"Cogent Math. Stat."},{"issue":"1","key":"S021969132250062XBIB016","doi-asserted-by":"crossref","first-page":"84","DOI":"10.4153\/CJM-1985-008-2","volume":"37","author":"Pathak R. S.","year":"1985","journal-title":"Canad. J. Math."},{"issue":"1","key":"S021969132250062XBIB017","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/S0377-0427(03)00626-5","volume":"160","author":"Pathak R. S.","year":"2003","journal-title":"J. Comput. Appl. Math."},{"issue":"3","key":"S021969132250062XBIB018","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1080\/00036818508839573","volume":"20","author":"Pathak R. S.","year":"1985","journal-title":"Appl. Anal."},{"issue":"1","key":"S021969132250062XBIB019","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1006\/jmaa.1997.5620","volume":"215","author":"Pathak R. S.","year":"1997","journal-title":"J. Math. Anal. Appl."},{"issue":"3","key":"S021969132250062XBIB020","first-page":"267","volume":"69","author":"Pathak R. S.","year":"2011","journal-title":"Rend. Sem. Mat. Univ. Politec. Torino"},{"issue":"3","key":"S021969132250062XBIB021","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1090\/S0002-9939-1969-0243294-0","volume":"22","author":"Schwartz A. L.","year":"1969","journal-title":"Proc. Amer. Math. Soc."},{"volume-title":"Generalized Harmonic Analysis and Wavelet Packets","year":"2001","author":"Trime\u2019che K.","key":"S021969132250062XBIB022"},{"issue":"4","key":"S021969132250062XBIB023","doi-asserted-by":"crossref","first-page":"1463","DOI":"10.1216\/rmj.2021.51.1463","volume":"51","author":"Upadhyay S. K.","year":"2021","journal-title":"Rocky Mountain J. Math."},{"issue":"05","key":"S021969132250062XBIB024","doi-asserted-by":"crossref","first-page":"1550032","DOI":"10.1142\/S0219691315500320","volume":"13","author":"Upadhyay S. K.","year":"2015","journal-title":"Int. J. Wavelets Multiresolut. Inf. Process."},{"volume-title":"Generalized Integral Transformations","year":"1968","author":"Zemanian A. H.","key":"S021969132250062XBIB025"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021969132250062X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,3]],"date-time":"2023-07-03T08:43:44Z","timestamp":1688373824000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S021969132250062X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,14]]},"references-count":25,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2023,7]]}},"alternative-id":["10.1142\/S021969132250062X"],"URL":"https:\/\/doi.org\/10.1142\/s021969132250062x","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"type":"print","value":"0219-6913"},{"type":"electronic","value":"1793-690X"}],"subject":[],"published":{"date-parts":[[2023,1,14]]},"article-number":"2250062"}}