Harmonicity on groups and G-discs
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In this chapter we extend the notions of harmonic and Hp-functions for compact groups G and on corresponding G-discs. We explore also their boundary behavior, and prove corresponding Fatou type theorems. The results hold for general shift-invariant algebras AS, and consequently to the particular cases of of H S ∞ -algebras and algebras APS of almost periodic functions, considered earlier.
KeywordsHarmonic Function Unit Disc Hardy Space Cauchy Sequence Haar Measure
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