{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T16:55:30Z","timestamp":1743094530727,"version":"3.40.3"},"publisher-location":"Cham","reference-count":12,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031309229"},{"type":"electronic","value":"9783031309236"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-3-031-30923-6_9","type":"book-chapter","created":{"date-parts":[[2023,4,26]],"date-time":"2023-04-26T21:01:55Z","timestamp":1682542915000},"page":"111-122","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Beurling\u2019s Theorem Associated with\u00a0Octonion Algebra Valued Signals"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0993-7217","authenticated-orcid":false,"given":"Youssef El","family":"Haoui","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3305-7340","authenticated-orcid":false,"given":"Mohra","family":"Zayed","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,4,27]]},"reference":[{"key":"9_CR1","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1017\/S1446788700035886","volume":"65","author":"SC Bagchi","year":"1999","unstructured":"Bagchi, S.C., Ray, S.K.: Uncertainty principles like Hardy\u2019s theorem on some Lie groups. J. Austral. Math. Soc. Ser. A 65, 289\u2013302 (1999)","journal-title":"J. Austral. Math. Soc. Ser. A"},{"doi-asserted-by":"crossref","unstructured":"Brackx, F., Hitzer, E., Sangwine, S.: History of quaternion and Clifford-Fourier transforms. In: Hitzer, E., Sangwine, S.J. (eds.) Quaternion and Clifford-Fourier Transforms and Wavelets. Trends in Mathematics (TIM), vol. 27, pp. xi-xxvii. Birkhauser, Basel (2013)","key":"9_CR2","DOI":"10.1007\/978-3-0348-0603-9"},{"doi-asserted-by":"publisher","unstructured":"B\u0142aszczyk, \u0141.: Octonion spectrum of 3D octonion-valued signals-properties and possible applications. In: 26th European Signal Processing Conference (EUSIPCO), pp. 509\u2013513 (2018). https:\/\/doi.org\/10.23919\/EUSIPCO.2018.8553228","key":"9_CR3","DOI":"10.23919\/EUSIPCO.2018.8553228"},{"issue":"4","key":"9_CR4","doi-asserted-by":"publisher","first-page":"1227","DOI":"10.1007\/s11045-020-00706-3","volume":"31","author":"\u0141 B\u0142aszczyk","year":"2020","unstructured":"B\u0142aszczyk, \u0141: A generalization of the octonion Fourier transform to 3-D octonion-valued signals: properties and possible applications to 3-D LTI partial differential systems. Multidimension. Syst. Signal Process. 31(4), 1227\u20131257 (2020). https:\/\/doi.org\/10.1007\/s11045-020-00706-3","journal-title":"Multidimension. Syst. Signal Process."},{"issue":"1","key":"9_CR5","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1007\/s11868-019-00281-7","volume":"11","author":"Y El Haoui","year":"2019","unstructured":"El Haoui, Y., Fahlaoui, S.: Beurling\u2019s theorem for the quaternion Fourier transform. J. Pseudo-Differ. Operators Appl. 11(1), 187\u2013199 (2019). https:\/\/doi.org\/10.1007\/s11868-019-00281-7","journal-title":"J. Pseudo-Differ. Operators Appl."},{"key":"9_CR6","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1007\/BF02649110","volume":"3","author":"GB Folland","year":"1997","unstructured":"Folland, G.B., Sitaram, A.: The uncertainty principle: a mathematical survey. J. Fourier Anal. Appl. 3, 207\u2013238 (1997)","journal-title":"J. Fourier Anal. Appl."},{"key":"9_CR7","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1112\/jlms\/s1-8.3.227","volume":"8","author":"GH Hardy","year":"1933","unstructured":"Hardy, G.H.: A theorem concerning Fourier transform. J. London Math. Soc. 8, 227\u2013231 (1933). https:\/\/doi.org\/10.1112\/jlms\/s1-8.3.227","journal-title":"J. London Math. Soc."},{"key":"9_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"658","DOI":"10.1007\/978-3-030-89029-2_49","volume-title":"Advances in Computer Graphics","author":"E Hitzer","year":"2021","unstructured":"Hitzer, E.: Special affine Fourier transform for space-time algebra signals. In: Magnenat-Thalmann, N., et al. (eds.) CGI 2021. LNCS, vol. 13002, pp. 658\u2013669. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-89029-2_49"},{"key":"9_CR9","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/BF02384339","volume":"2","author":"L H\u00f6rmander","year":"1991","unstructured":"H\u00f6rmander, L.: A uniqueness theorem of Beurling for Fourier transform pairs. Ark. F\u00f6r Math. 2, 237\u2013240 (1991)","journal-title":"Ark. F\u00f6r Math."},{"issue":"1","key":"9_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00006-018-0826-2","volume":"28","author":"J Kauhanen","year":"2018","unstructured":"Kauhanen, J., Orelma, H.: Cauchy\u2013Riemann operators in octonionic analysis. Adv. Appl. Clifford Algebras 28(1), 1\u201314 (2018). https:\/\/doi.org\/10.1007\/s00006-018-0826-2","journal-title":"Adv. Appl. Clifford Algebras"},{"key":"9_CR11","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1016\/j.sigpro.2019.06.015","volume":"164","author":"P Lian","year":"2019","unstructured":"Lian, P.: The octonion Fourier transform: uncertainty relations and convolution. Signal Process. 164, 295\u2013300 (2019). https:\/\/doi.org\/10.1016\/j.sigpro.2019.06.015","journal-title":"Signal Process."},{"doi-asserted-by":"publisher","unstructured":"Li, Y., Ren, G.: Real Paley-Wiener theorem for the octonion Fourier transform. Math. Meth. Appl. Sci., 1\u201316 (2021). https:\/\/doi.org\/10.1002\/mma.7513","key":"9_CR12","DOI":"10.1002\/mma.7513"}],"container-title":["Lecture Notes in Computer Science","Empowering Novel Geometric Algebra for Graphics and Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-30923-6_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,26]],"date-time":"2023-04-26T21:02:37Z","timestamp":1682542957000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-30923-6_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031309229","9783031309236"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-30923-6_9","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"27 April 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ENGAGE","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Workshop on Empowering Novel Geometric Algebra for Graphics and Engineering","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2022","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12 September 2022","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12 September 2022","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"engage2022","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.cgs-network.org\/cgi22\/engage-workshop\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Easy Chair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"12","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"10","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"83% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}