{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T05:34:10Z","timestamp":1776749650797,"version":"3.51.2"},"reference-count":10,"publisher":"American Mathematical Society (AMS)","issue":"4","license":[{"start":{"date-parts":[[2005,10,14]],"date-time":"2005-10-14T00:00:00Z","timestamp":1129248000000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proc. Amer. Math. Soc."],"abstract":"

\n A\n \n \n \n q<\/mml:mi>\n q<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n -version of the sampling theorem is derived using the\n \n \n \n q<\/mml:mi>\n q<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n -Hankel transform introduced by Koornwinder and Swarttouw. The sampling points are the zeros of the third Jackson\n \n \n \n q<\/mml:mi>\n q<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n -Bessel function.\n <\/p>","DOI":"10.1090\/s0002-9939-04-07589-6","type":"journal-article","created":{"date-parts":[[2004,12,20]],"date-time":"2004-12-20T08:10:20Z","timestamp":1103530220000},"page":"1197-1203","source":"Crossref","is-referenced-by-count":53,"special_numbering":"550","title":["A \ud835\udc5e-sampling theorem related to the \ud835\udc5e-Hankel transform"],"prefix":"10.1090","volume":"133","author":[{"given":"L.","family":"Abreu","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2004,10,14]]},"reference":[{"key":"1","unstructured":"L. D. Abreu, J. Bustoz, Complete sets of q-Bessel functions, to appear in \u201cTheory and Applications of Special Functions. A volume dedicated to Mizan Rahman\u201d, (eds. M. E. H. Ismail and E. Koelink), Developments in Mathematics, Kluwer Acad. Publ."},{"key":"2","doi-asserted-by":"crossref","unstructured":"L. D. Abreu, J. Bustoz, J. L. Cardoso, The roots of the third Jackson q-Bessel function, Internat. J. Math. Math. Sci. 67, (2003), 4241-4248.","DOI":"10.1155\/S016117120320613X"},{"key":"3","series-title":"Encyclopedia of Mathematics and its Applications","isbn-type":"print","volume-title":"Basic hypergeometric series","volume":"35","author":"Gasper, George","year":"1990","ISBN":"https:\/\/id.crossref.org\/isbn\/0521350492"},{"key":"4","first-page":"113","article-title":"Generalizaci\u00f3n del teorema de Laguerre","volume":"12","author":"Sispanov, Sergio","year":"1939","journal-title":"Bol. Mat.","ISSN":"https:\/\/id.crossref.org\/issn\/0120-0380","issn-type":"print"},{"key":"5","doi-asserted-by":"publisher","first-page":"707","DOI":"10.1112\/jlms\/s2-5.4.707","article-title":"An interpolation series associated with the Bessel-Hankel transform","volume":"5","author":"Higgins, J. R.","year":"1972","journal-title":"J. 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A","ISSN":"https:\/\/id.crossref.org\/issn\/0305-4470","issn-type":"print"},{"key":"10","isbn-type":"print","volume-title":"Hilbert space methods in science and engineering","author":"M\u00e1t\u00e9, L\u00e1szl\u00f3","year":"1989","ISBN":"https:\/\/id.crossref.org\/isbn\/0852742932"}],"container-title":["Proceedings of the American Mathematical Society"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/proc\/2005-133-04\/S0002-9939-04-07589-6\/S0002-9939-04-07589-6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/proc\/2005-133-04\/S0002-9939-04-07589-6\/S0002-9939-04-07589-6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,13]],"date-time":"2026-04-13T15:29:57Z","timestamp":1776094197000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/proc\/2005-133-04\/S0002-9939-04-07589-6\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,10,14]]},"references-count":10,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2005,4]]}},"alternative-id":["S0002-9939-04-07589-6"],"URL":"https:\/\/doi.org\/10.1090\/s0002-9939-04-07589-6","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6826","0002-9939"],"issn-type":[{"value":"1088-6826","type":"electronic"},{"value":"0002-9939","type":"print"}],"subject":[],"published":{"date-parts":[[2004,10,14]]}}}