| dc.contributor.creator | Kitson, Derek | |
| dc.contributor.creator | Kastis, Eleftherios | |
| dc.contributor.creator | McCarthy, John E | |
| dc.date.accessioned | 2021-03-25T14:47:20Z | |
| dc.date.available | 2021-03-25T14:47:20Z | |
| dc.date.issued | 2021-05-15 | |
| dc.identifier.citation | Kastis, E., Kitson, D. & McCarthy, J, E. (2021) 'Symbol functions for symmetric frameworks', Journal of Mathematical Analysis and Applications, 497(2):124895. | en_US |
| dc.identifier.uri | https://dspace.mic.ul.ie/handle/10395/2962 | |
| dc.description.abstract | We prove a variant of the well-known result that intertwiners for the bilateral shift on ℓ2(Z) are unitarily equivalent to multiplication operators on L2(T). This enables us to unify and extend fundamental aspects of rigidity theory for bar-joint frameworks with an abelian symmetry group. In particular, we formulate the symbol function for a wide class of frameworks and show how to construct generalised rigid unit modes in a variety of new contexts. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartofseries | 497;2 | |
| dc.rights | This is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, Kastis, E., Kitson, D. & McCarthy, J, E. (2021) 'Symbol functions for symmetric frameworks', Journal of Mathematical Analysis and Applications, 497(2):124895.
https://www.sciencedirect.com/science/article/pii/S0022247X20310581. | en_US |
| dc.rights.uri | https://www.sciencedirect.com/ | en_US |
| dc.subject | Bar-joint framework | en_US |
| dc.subject | Infinitesimal flex | en_US |
| dc.subject | Rigidity matrix | en_US |
| dc.subject | Rigid unit matrix | en_US |
| dc.subject | Multiplication operator | en_US |
| dc.title | Symbol functions for symmetric frameworks (Pre-published) | en_US |
| dc.type | Article | en_US |
| dc.type.supercollection | all_mic_research | en_US |
| dc.type.supercollection | mic_published_reviewed | en_US |
| dc.description.version | Yes | en_US |
| dc.identifier.doi | 10.1016/j.jmaa.2020.124895 | |
