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Harmonicity on groups and G-discs

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

Abstract

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.

Keywords

Harmonic Function Unit Disc Hardy Space Cauchy Sequence Haar Measure 
These 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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Copyright information

© Birkhäuser Verlag 2006

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