{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:50:05Z","timestamp":1777449005969,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2012,12,1]],"date-time":"2012-12-01T00:00:00Z","timestamp":1354320000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2012,12]]},"abstract":"<jats:p>We study inverse scattering problems for the singular rank-one perturbations of a selfadjoint operator. We obtain a necessary and sufficient condition for a given function to be the scattering phase shift of a singular rank-one perturbation of the operator.<\/jats:p>","DOI":"10.3233\/asy-2012-1112","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:24:12Z","timestamp":1575055452000},"page":"213-221","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Inverse scattering problems for singular rank-one perturbations of a selfadjoint operator"],"prefix":"10.1177","volume":"80","author":[{"given":"Kazushi","family":"Yoshitomi","sequence":"first","affiliation":[{"name":"Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji, Tokyo 192-0397, Japan. E-mail: yositomi@tmu.ac.jp"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2012,12,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2012-1112","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2012-1112","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:44Z","timestamp":1777379984000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2012-1112"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2012,12]]}},"alternative-id":["10.3233\/ASY-2012-1112"],"URL":"https:\/\/doi.org\/10.3233\/asy-2012-1112","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12]]}}}