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Algebraic spectral synthesis and crystal rigidity

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Algebraic spectral synthesis and crystal rigidity. / Kastis, Eleftherios Michail; Power, Stephen Charles.
In: Journal of Pure and Applied Algebra, Vol. 223, No. 11, 01.11.2019, p. 4954-4965.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Kastis, EM & Power, SC 2019, 'Algebraic spectral synthesis and crystal rigidity', Journal of Pure and Applied Algebra, vol. 223, no. 11, pp. 4954-4965. https://doi.org/10.1016/j.jpaa.2019.03.003

APA

Vancouver

Kastis EM, Power SC. Algebraic spectral synthesis and crystal rigidity. Journal of Pure and Applied Algebra. 2019 Nov 1;223(11):4954-4965. Epub 2019 Mar 14. doi: 10.1016/j.jpaa.2019.03.003

Author

Kastis, Eleftherios Michail ; Power, Stephen Charles. / Algebraic spectral synthesis and crystal rigidity. In: Journal of Pure and Applied Algebra. 2019 ; Vol. 223, No. 11. pp. 4954-4965.

Bibtex

@article{aa5c1b73af784a1f9d81dc78b83076e3,
title = "Algebraic spectral synthesis and crystal rigidity",
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 tohomogeneous systems of multi-variable vector-valued discrete difference equations and to the first-order flexibility of crystallographic bar-joint frameworks. ",
keywords = "spectral synthesis, discrete group, shift-invariant subspace, crystal rigidity",
author = "Kastis, {Eleftherios Michail} and Power, {Stephen Charles}",
year = "2019",
month = nov,
day = "1",
doi = "10.1016/j.jpaa.2019.03.003",
language = "English",
volume = "223",
pages = "4954--4965",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier",
number = "11",

}

RIS

TY - JOUR

T1 - Algebraic spectral synthesis and crystal rigidity

AU - Kastis, Eleftherios Michail

AU - Power, Stephen Charles

PY - 2019/11/1

Y1 - 2019/11/1

N2 - 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 tohomogeneous systems of multi-variable vector-valued discrete difference equations and to the first-order flexibility of crystallographic bar-joint frameworks.

AB - 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 tohomogeneous systems of multi-variable vector-valued discrete difference equations and to the first-order flexibility of crystallographic bar-joint frameworks.

KW - spectral synthesis

KW - discrete group

KW - shift-invariant subspace

KW - crystal rigidity

U2 - 10.1016/j.jpaa.2019.03.003

DO - 10.1016/j.jpaa.2019.03.003

M3 - Journal article

VL - 223

SP - 4954

EP - 4965

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 11

ER -