{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:33:31Z","timestamp":1760060011603,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T00:00:00Z","timestamp":1753315200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"research fund of Dankook University in 2025"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we introduce an integral transform with a kernel defined on the Wiener space. We first establish the existence of the integral transform and present several illustrative examples. As the main result, we derive an approximation theorem for the integral transform. Our approach demonstrates that the integral transform can be effectively computed even in cases where direct calculation is difficult or infeasible.<\/jats:p>","DOI":"10.3390\/axioms14080570","type":"journal-article","created":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T15:19:22Z","timestamp":1753370362000},"page":"570","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["An Approximation Formula of the Integral Transform on Wiener Space"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1458-7087","authenticated-orcid":false,"given":"Hyun Soo","family":"Chung","sequence":"first","affiliation":[{"name":"Department of Mathematics, Dankook University, Cheonan 31116, Republic of Korea"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,24]]},"reference":[{"key":"ref_1","unstructured":"Kreyszig, E. (1978). 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