{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T15:30:48Z","timestamp":1787239848394,"version":"3.56.0"},"reference-count":3,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[1997,1]]},"abstract":"<jats:p>Taking an open and bounded interval in ${\\cal R}$, $\\Omega$ which contains the interval $[-1,1]$, we prove that $\\mid x \\mid^{\\frac{1}{2}}$ $x \\in [-1,1]$ is not an element of $H^{\\frac{1}{2}}(\\delta \\Omega)$. The procedure is based on a study of the Fourier transform.<\/jats:p>","DOI":"10.1137\/s0036144595286786","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"494-495","source":"Crossref","is-referenced-by-count":0,"title":["Classroom Note:A Study of a Semi-Infinite Integral"],"prefix":"10.1137","volume":"39","author":[{"given":"Y.","family":"Villacampa","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Balaguer","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J. L.","family":"Us\u00f3","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,8,2]]},"reference":[{"key":"R1","unstructured":"C. F. Gerald and P. O. Wheatley,\n                      Applied Numerical Analysis\n                      , Addison\u2013Wesley, Reading, MA, 1989."},{"key":"R2","unstructured":"J. T. Oden and J. N. Reddy,\n                      An Introduction to the Mathematical Theory of Finite Elements\n                      , John Wiley and Sons, New York, 1976."},{"key":"R3","unstructured":"Vo\u2010Khac Khoan,\n                      Distributions. Analyse de Fourier\n                      , in Operateur aux Derives Partielles (Tome 1, 2), Ed. Vuibert, 1970."}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0036144595286786","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T15:03:28Z","timestamp":1787238208000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0036144595286786"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":3,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["10.1137\/S0036144595286786"],"URL":"https:\/\/doi.org\/10.1137\/s0036144595286786","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}