Symbol functions for symmetric frameworks

Kastis, Eleftherios and Kitson, Derek and McCarthy, John (2020) Symbol functions for symmetric frameworks. Journal of Mathematical Analysis and Applications. ISSN 0022-247X (In Press)

[img]
Text (Symbol functions for symmetric frameworks Kastis Kitson McCarthy)
Symbol_functions_for_symmetric_frameworks_Kastis_Kitson_McCarthy.pdf - Accepted Version
Available under License Creative Commons Attribution.

Download (476kB)

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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Mathematical Analysis and Applications
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2604
Subjects:
ID Code:
150171
Deposited By:
Deposited On:
04 Jan 2021 11:45
Refereed?:
Yes
Published?:
In Press
Last Modified:
26 Jan 2021 12:50