Algebraic spectral synthesis and crystal rigidity

Kastis, Eleftherios Michail and Power, Stephen Charles (2019) Algebraic spectral synthesis and crystal rigidity. Journal of Pure and Applied Algebra, 223 (11). pp. 4954-4965. ISSN 0022-4049

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Official URL: https://doi.org/10.1016/j.jpaa.2019.03.003

Abstract

A spectral synthesis property is obtained for closed shift-invariant subspaces of vector-valued functions on the lattice Z^d. This result generalises Marcel Lefranc's 1958 theorem for scalar-valued functions. Applications are given to homogeneous systems of multi-variable vector-valued discrete difference equations and to the first-order flexibility of crystallographic bar-joint frameworks.

Item Type:

Journal Article

Journal or Publication Title:

Journal of Pure and Applied Algebra

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2602

Subjects:

?? SPECTRAL SYNTHESISDISCRETE GROUPSHIFT-INVARIANT SUBSPACECRYSTAL RIGIDITYMATHEMATICS(ALL)ALGEBRA AND NUMBER THEORY ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

131711

Deposited By:

ep_importer_pure

Deposited On:

07 Mar 2019 10:30

Refereed?:

Yes

Published?:

Published

Last Modified:

15 Sep 2023 04:28

URI:

https://eprints.lancs.ac.uk/id/eprint/131711