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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -