Logo do repositório
 
Publicação

Quaternion Hyperbolic Transforms of the Fourier Type: An Overview

2025-07-03Capítulo de livro Acesso restrito
Ver registo simples
datacite.subject.fosCiências Naturais::Matemáticas
datacite.subject.sdg04:Educação de Qualidade
dc.contributor.authorFerreira, M.
dc.contributor.authorMorais, J.
dc.date.accessioned2026-10-19T16:17:52Z
dc.date.available2026-10-19T16:17:52Z
dc.date.issued2025-07-03
dc.descriptionPart of the book series: Trends in Mathematics (TM, volume 9) Part of the book sub series: Research Perspectives Ghent Analysis and PDE Center (RPGAPC) Included in the following conference series: ICHAA: International Conference on Hypercomplex Analysis and its Applications Extended Abstracts of the International Conference Celebrating Paula Cerejeiras’ 60th Birthday Conference proceedings © 2025
dc.descriptionAcknowledgements: The first author’s work was supported by Portuguese funds through CIDMA – Center for Research and Development in Mathematics and Applications, and FCT – Fundação para a Ciência e a Tecnologia, within projects ˆ https://doi.org/10.54499/UIDB/04106/2020 and https://doi.org/10.54499/UIDP/04106/2020. The second author’s work was supported by the Asociación Mexicana de Cultura, A. C.
dc.description.abstractQuaternion Hyperbolic Transforms of the Fourier type associated with quaternion-valued signals defined over an open rectangle of the Euclidean plane endowed with a hyperbolic measure include the Fourier, Wigner-Ville, and linear canonical transforms. In this paper, we give a descriptive review of these generalized transforms and provide some of their important properties. The different forms of the hyperbolic kernels of such transforms contain hyperbolic spatial variables and frequency variables together with two quaternion algebra generators that take over the role of imaginary units (an essential feature to maintain the separation between the two dimensions).eng
dc.description.sponsorshipAsociación Mexicana de Cultura, A.C.
dc.identifier.citationFerreira, M., Morais, J. (2025). Quaternion Hyperbolic Transforms of the Fourier Type: An Overview. In: Faustino, N., Ferreira, M., Kähler, U., Vieira, N. (eds) Hypercomplex Analysis and Its Applications. ICHAA 2024. Trends in Mathematics(), vol 9. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-86858-0_5
dc.identifier.doi10.1007/978-3-031-86858-0_5
dc.identifier.isbn9783031868573
dc.identifier.isbn9783031868580
dc.identifier.issn2297-0215
dc.identifier.issn2297-024X
dc.identifier.urihttp://hdl.handle.net/10400.8/17083
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Nature
dc.relationCenter for Research and Development in Mathematics and Applications
dc.relationCenter for Research and Development in Mathematics and Applications
dc.relation.hasversionhttps://link.springer.com/chapter/10.1007/978-3-031-86858-0_5
dc.relation.ispartofTrends in Mathematics
dc.relation.ispartofHypercomplex Analysis and Its Applications
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectQuaternion Hyperbolic Transforms
dc.subjectQuaternion Fourier Transform
dc.subjectLinear Canonical Transform
dc.subjectWigner-Ville Transform
dc.subjectQuaternionic Signal Analysis
dc.subjectHyperbolic Geometry
dc.titleQuaternion Hyperbolic Transforms of the Fourier Type: An Overvieweng
dc.typebook part
dspace.entity.typePublication
oaire.awardNumberUIDB/04106/2020
oaire.awardNumberUIDP/04106/2020
oaire.awardTitleCenter for Research and Development in Mathematics and Applications
oaire.awardTitleCenter for Research and Development in Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PT
oaire.citation.endPage52
oaire.citation.startPage43
oaire.citation.titleTrends in Mathematics
oaire.citation.volume9
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_ab4af688f83e57aa
person.familyNameFerreira
person.familyNameMorais
person.givenNameMilton
person.givenNameJoão
person.identifier.ciencia-idCA19-2009-F26D
person.identifier.ciencia-id3614-652A-118E
person.identifier.orcid0000-0003-1816-8293
person.identifier.orcid0000-0003-3406-2878
person.identifier.ridA-2004-2015
person.identifier.scopus-author-id12144179800
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublicationb1460cdc-4ced-46c6-a637-68b425d104dc
relation.isAuthorOfPublication3bc0f910-a460-461f-863a-1ca701ee597f
relation.isAuthorOfPublication.latestForDiscoveryb1460cdc-4ced-46c6-a637-68b425d104dc
relation.isProjectOfPublication198b0a26-89c6-4507-9459-313b8f692514
relation.isProjectOfPublication12b5a55f-76f1-4cab-b7e3-cb84215f36c1
relation.isProjectOfPublication.latestForDiscovery12b5a55f-76f1-4cab-b7e3-cb84215f36c1

Ficheiros

Principais
A mostrar 1 - 1 de 1
Miniatura indisponível
Nome:
Quaternion Hyperbolic Transforms of the Fourier Type: An Overview.pdf
Tamanho:
154.6 KB
Formato:
Adobe Portable Document Format
Ver/Abrir
Licença
A mostrar 1 - 1 de 1
Miniatura indisponível
Nome:
license.txt
Tamanho:
1.32 KB
Formato:
Item-specific license agreed upon to submission
Descrição:
Ver/Abrir

Coleções

ESTG - Capítulos de livros