Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/38324
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cerejeiras, P. | pt_PT |
dc.contributor.author | Ferreira, M. | pt_PT |
dc.contributor.author | Kähler, U. | pt_PT |
dc.contributor.author | Wirth, J. | pt_PT |
dc.date.accessioned | 2023-07-03T14:03:35Z | - |
dc.date.available | 2023-07-03T14:03:35Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 1069-5869 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/38324 | - |
dc.description.abstract | In this paper, we use the representation theory of the group Spin(m) to develop aspects of the global symbolic calculus of pseudo-differential operators on Spin(3) and Spin(4) in the sense of Ruzhansky–Turunen–Wirth. A detailed study of Spin(3) and Spin(4)-representations is made including recurrence relations and natural differential operators acting on matrix coefficients. We establish the calculus of left-invariant differential operators and of difference operators on the group Spin(4) and apply this to give criteria for the subellipticity and the global hypoellipticity of pseudo-differential operators in terms of their matrix-valued full symbols. Several examples of first and second order globally hypoelliptic differential operators are given, including some that are locally neither invertible nor hypoelliptic. The paper presents a particular case study for higher dimensional spin groups. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Springer | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PT | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Spin group | pt_PT |
dc.subject | Spin representations | pt_PT |
dc.subject | Difference operators | pt_PT |
dc.subject | Pseudo-differential operators | pt_PT |
dc.subject | Fourier transform | pt_PT |
dc.subject | Microlocal analysis | pt_PT |
dc.subject | Elliptic operators | pt_PT |
dc.subject | Global hypoellipticity | pt_PT |
dc.title | Global operator calculus on spin groups | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 1 | pt_PT |
degois.publication.issue | 3 | pt_PT |
degois.publication.lastPage | 56 | pt_PT |
degois.publication.title | Journal of Fourier Analysis and Applications | pt_PT |
degois.publication.volume | 29 | pt_PT |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00041-023-10015-5 | pt_PT |
dc.identifier.doi | 10.1007/s00041-023-10015-5 | pt_PT |
dc.identifier.essn | 1531-5851 | pt_PT |
dc.identifier.articlenumber | 32 | pt_PT |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
s00041-023-10015-5.pdf | 1.11 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.