A characterization of finitely generated shift-invariant subspaces is given when generators are g-minimal. An algorithm is given for the determination of the coefficients in the well known representation of the Fourier transform of an element of the finitely generated shift-invariant subspace as a linear combination of Fourier transformations of generators. An estimate for the norms of those coefficients is derived. For the proof a sort of orthogonalization procedure for generators is used which reminds the well known Gram-Schmidt orthogonalization process.
A characterization of iterative equations by their coefficients
Generators for the $C^m$-closures of Ideals
Hypergeometric differential equation and new identities for the coefficients of Norlund and Buehring
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