Abstract
AbstractG-disc algebras are also called big disc algebras, or algebras of generalized analytic functions. They are special classes of shift-invariant algebras on compact groups, generated by ‘one half’ of their dual groups. Their properties, including the description of their Bourgain algebras and primary ideals, are presented in this chapter. While all the results are given for general shift-invariant algebras \( A_{\Gamma _ + } \), they apply automatically to the particular cases of algebras \( AP_{\Gamma _ + } \) of almost periodic functions, and of \( H_{\Gamma _ + }^\infty \)-algebras.KeywordsPrimary IdealCompact GroupMaximal IdealBlaschke ProductDual GroupThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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