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Algebraic spectral synthesis and crystal rigidity

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<mark>Journal publication date</mark>1/11/2019
<mark>Journal</mark>Journal of Pure and Applied Algebra
Issue number11
Number of pages12
Pages (from-to)4954-4965
Publication StatusPublished
Early online date14/03/19
<mark>Original language</mark>English


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.