Spectral analysis and spectral synthesis on discrete Abelian groups
Let G be an Abelian group. We say that G is a torsion group if every element of G has finite order. In other words, for every x in G there exists a positive integer n with nx = 0. Hence G is not a torsion group if and only if there exists an element of G which generates a subgroup isomorphic to ℤ.
KeywordsAbelian Group Primary Ideal Maximal Ideal Polynomial Ideal Complex Polynomial
Unable to display preview. Download preview PDF.