{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:32:52Z","timestamp":1777447972639,"version":"3.51.4"},"reference-count":23,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2019,8,12]],"date-time":"2019-08-12T00:00:00Z","timestamp":1565568000000},"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":[[2019,8,12]]},"abstract":"<jats:p>We provide complete structural theorems for the so-called quasiasymptotic behavior of non-quasianalytic ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ultradistributions and discuss connections with Gelfand\u2013Shilov type spaces.<\/jats:p>","DOI":"10.3233\/asy-181514","type":"journal-article","created":{"date-parts":[[2019,8,13]],"date-time":"2019-08-13T11:27:30Z","timestamp":1565695650000},"page":"1-18","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Structural theorems for quasiasymptotics of ultradistributions"],"prefix":"10.1177","volume":"114","author":[{"given":"Lenny","family":"Neyt","sequence":"first","affiliation":[{"name":"Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, 9000 Gent, Belgium. E-mails:\u00a0,\u00a0"}]},{"given":"Jasson","family":"Vindas","sequence":"additional","affiliation":[{"name":"Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, 9000 Gent, Belgium. E-mails:\u00a0,\u00a0"}]}],"member":"179","published-online":{"date-parts":[[2019,8,12]]},"reference":[{"key":"ref001","unstructured":"N.\u00a0Bingham, C.\u00a0Goldie and J.\u00a0Teugels, Regular Variation, Cambridge University Press, Cambridge, 1989."},{"key":"ref002","doi-asserted-by":"publisher","DOI":"10.1142\/6484"},{"key":"ref003","unstructured":"L.\u00a0Comtet, Advanced Combinatorics. The Art of Finite and Infinite Expansions, D. Reidel Publishing Co., Dordrecht, 1974."},{"key":"ref004","doi-asserted-by":"publisher","DOI":"10.1007\/s10231-017-0649-0"},{"key":"ref005","doi-asserted-by":"publisher","DOI":"10.1070\/RM9743"},{"key":"ref006","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-8130-2"},{"key":"ref007","unstructured":"L.\u00a0H\u00f6rmander, The Analysis of Linear Partial Differential Operators. I. Distribution Theory and Fourier Analysis, Springer-Verlag, Berlin, 1990."},{"key":"ref008","first-page":"217","volume":"109","author":"Johnson W.P.","year":"2002","journal-title":"Amer. Math. Monthly"},{"key":"ref009","first-page":"25","volume":"20","author":"Komatsu H.","year":"1973","journal-title":"J. Fac. Sci. Univ. Tokyo Sect. IA Math."},{"key":"ref010","doi-asserted-by":"publisher","DOI":"10.4064\/sm-16-1-1-36"},{"key":"ref011","first-page":"61","volume":"20","author":"Pilipovi\u0107 S.","year":"1995","journal-title":"Bull. Acad. Serbe Sci. Arts Cl. Sci. Math. Natur."},{"key":"ref012","unstructured":"S.\u00a0Pilipovi\u0107, B.\u00a0Stankovi\u0107 and A.\u00a0Taka\u010di, Asymptotic Behaviour and Stieltjes Transformation of Distributions, Teubner Verlagsgesellschaft, Leipzig, 1990."},{"key":"ref013","doi-asserted-by":"crossref","unstructured":"S.\u00a0Pilipovi\u0107, B.\u00a0Stankovi\u0107 and J.\u00a0Vindas, Asymptotic Behavior of Generalized Functions, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2012.","DOI":"10.1142\/9789814366854"},{"key":"ref014","doi-asserted-by":"publisher","DOI":"10.2298\/PIM1409001P"},{"key":"ref015","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9800(69)80045-1"},{"key":"ref016","doi-asserted-by":"publisher","DOI":"10.1155\/IJMMS.2005.755"},{"key":"ref017","doi-asserted-by":"publisher","DOI":"10.2298\/PIM0898159V"},{"key":"ref018","doi-asserted-by":"publisher","DOI":"10.1080\/10652469.2010.541058"},{"key":"ref019","doi-asserted-by":"publisher","DOI":"10.1002\/mana.200710090"},{"key":"ref020","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-2831-2"},{"key":"ref021","doi-asserted-by":"publisher","DOI":"10.3233\/ASY-151310"},{"key":"ref022","first-page":"178","volume":"17","author":"Zav\u2019yalov B.I.","year":"1973","journal-title":"Teoret. Mat. Fiz."},{"key":"ref023","doi-asserted-by":"publisher","DOI":"10.1070\/SM1989v064n01ABEH003296"}],"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-181514","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/ASY-181514","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-181514","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:36:27Z","timestamp":1777379787000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-181514"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8,12]]},"references-count":23,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2019,8,12]]}},"alternative-id":["10.3233\/ASY-181514"],"URL":"https:\/\/doi.org\/10.3233\/asy-181514","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,8,12]]}}}