{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:27:02Z","timestamp":1747189622096,"version":"3.40.5"},"reference-count":22,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/501100002341","name":"Academy of Finland","doi-asserted-by":"publisher","award":["312124","336787"],"award-info":[{"award-number":["312124","336787"]}],"id":[{"id":"10.13039\/501100002341","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002301","name":"Eesti Teadusagentuur","doi-asserted-by":"publisher","award":["PRG 832"],"award-info":[{"award-number":["PRG 832"]}],"id":[{"id":"10.13039\/501100002301","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2023,12,31]]},"DOI":"10.1137\/23m1560628","type":"journal-article","created":{"date-parts":[[2023,11,8]],"date-time":"2023-11-08T09:06:13Z","timestamp":1699434373000},"page":"7529-7548","source":"Crossref","is-referenced-by-count":0,"title":["The Fourier, Hilbert, and Mellin Transforms on a Half-Line"],"prefix":"10.1137","volume":"55","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6675-6108","authenticated-orcid":true,"given":"Emilia L. K.","family":"Bl\u00e5sten","sequence":"first","affiliation":[{"name":"Computational Engineering, School of Engineering Science, LUT University, 15210 Lahti, Finland."}]},{"given":"Lassi","family":"P\u00e4iv\u00e4rinta","sequence":"additional","affiliation":[{"name":"Division of Mathematics, Tallinn University of Technology, Department of Cybernetics, 19086 Tallinn, Estonia."}]},{"given":"Sadia","family":"Sadique","sequence":"additional","affiliation":[{"name":"Division of Mathematics, Tallinn University of Technology, Department of Cybernetics, 19086 Tallinn, Estonia."}]}],"member":"351","published-online":{"date-parts":[[2023,11,8]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.2013.62.5124"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500023337"},{"key":"ref3","series-title":"The Electrical Engineering Handbook Series","volume-title":"Transforms and Applications Handbook","author":"Bertrand J.","year":"1995"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.3390\/math8071156"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(01)00529-5"},{"key":"ref6","series-title":"The Wadsworth & Brooks\/Cole Mathematics Series","volume-title":"Fourier Analysis and Its Applications","author":"Folland G. B.","year":"1992"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.1989.38.38025"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58946-1"},{"volume-title":"Verhandlungen des 3. Internationalen Mathematiker-Kongresses: in Heidelberg vom 8. bis 13. August 1904","year":"1905","author":"Hilbert D.","key":"ref10"},{"volume-title":"Hilbert Transforms","year":"2009","author":"King F. W.","key":"ref11"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/BF02406734"},{"key":"ref13","series-title":"North\u2013Holland Mathematics Studies","volume-title":"Transform Analysis of Generalized Functions","author":"Misra O. P.","year":"1986"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2011-02418-X"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-1106-7"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1063\/1.530670"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1063\/1.530529"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1002\/9781118165621"},{"key":"ref19","series-title":"Princeton Mathematical Series","volume-title":"Singular Integrals and Differentiability Properties of Functions","volume":"30","author":"Stein E. M.","year":"1970"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1080\/00036818408839520"},{"key":"ref22","volume-title":"Introduction to the Theory of Fourier Integrals","author":"Titchmarsh E. C.","year":"1948","edition":"2"},{"volume-title":"Integral Equations","year":"1957","author":"Tricomi F. G.","key":"ref23"},{"volume-title":"Generalized Integral Transformations","year":"1969","author":"Zemanian A. H.","key":"ref24"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,12,21]],"date-time":"2023-12-21T21:47:27Z","timestamp":1703195247000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1560628"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,8]]},"references-count":22,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2023,12,31]]}},"alternative-id":["10.1137\/23M1560628"],"URL":"https:\/\/doi.org\/10.1137\/23m1560628","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"type":"print","value":"0036-1410"},{"type":"electronic","value":"1095-7154"}],"subject":[],"published":{"date-parts":[[2023,11,8]]}}}