{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,28]],"date-time":"2025-11-28T17:08:31Z","timestamp":1764349711681},"reference-count":0,"publisher":"Wiley","issue":"11","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>We establish the various relationships that exist among the integral transform <jats:italic>\u2131<\/jats:italic><jats:sub><jats:italic>\u03b1<\/jats:italic>,<jats:italic>\u03b2<\/jats:italic><\/jats:sub><jats:italic>F<\/jats:italic>, the convolution product (<jats:italic>F<\/jats:italic>\u2217<jats:italic>G<\/jats:italic>)<jats:sub><jats:italic>\u03b1<\/jats:italic><\/jats:sub>, and the first variation <jats:italic>\u03b4<\/jats:italic><jats:italic>F<\/jats:italic> for a class of functionals defined on <jats:italic>K<\/jats:italic>[0, <jats:italic>T<\/jats:italic>], the space of complex\u2010valued continuous functions on [0, <jats:italic>T<\/jats:italic>] which vanish at zero.<\/jats:p>","DOI":"10.1155\/s0161171204305260","type":"journal-article","created":{"date-parts":[[2004,3,13]],"date-time":"2004-03-13T18:07:30Z","timestamp":1079201250000},"page":"579-598","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Integral transforms, convolution products, and first variations"],"prefix":"10.1155","volume":"2004","author":[{"given":"Bong Jin","family":"Kim","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Byoung Soo","family":"Kim","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Skoug","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2004,3,11]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/495891.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204305260","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T21:17:09Z","timestamp":1723065429000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204305260"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204305260"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204305260","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2003-05-21","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-03-11","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}