G-disc algebras

Part of the Monografie Matematyczne book series (MONOGRAFIE, volume 68)


G-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.


Primary Ideal Compact Group Maximal Ideal Blaschke Product Dual Group 
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© Birkhäuser Verlag 2006

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