{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,7]],"date-time":"2026-01-07T05:59:24Z","timestamp":1767765564882,"version":"3.48.0"},"reference-count":30,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T00:00:00Z","timestamp":1767571200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Science and Technological Development, Republic of Serbia","award":["451-03-68\/2020\/14\/200156"],"award-info":[{"award-number":["451-03-68\/2020\/14\/200156"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this research article, we formulate and prove the multidimensional Widder\u2013Arendt theorem and the integrated form of the multidimensional Widder\u2013Arendt theorem for functions with values in sequentially complete locally convex spaces. Established results seem to be new even for scalar-valued functions.<\/jats:p>","DOI":"10.3390\/axioms15010039","type":"journal-article","created":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T15:28:57Z","timestamp":1767626937000},"page":"39","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Multidimensional Widder\u2013Arendt Theorem in Locally Convex Spaces"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0392-4976","authenticated-orcid":false,"given":"Marko","family":"Kosti\u0107","sequence":"first","affiliation":[{"name":"Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovi\u0107a 6, 21125 Novi Sad, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,1,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1090\/S0002-9947-1934-1501737-7","article-title":"The inversion of the Laplace integral and the related moment problem","volume":"36","author":"Widder","year":"1934","journal-title":"Trans. Am. Math. Soc."},{"key":"ref_2","unstructured":"Widder, D.V. (1946). The Laplace Transform, Princeton University Press."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"170","DOI":"10.2748\/tmj\/1178244980","article-title":"On the representation theorem by the Laplace-transformation of vector-valued functions","volume":"8","author":"Miyadera","year":"1956","journal-title":"Tohoku Math. J."},{"key":"ref_4","first-page":"47","article-title":"Sur un th\u00e9or\u00e8me de I. 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