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Boundary value theory for harmonic and holomorphic functions in the unit disk.- Function algebras: The bounded-measurable situation.- Function algebras: The compact-continuous situation.- The abstract Hardy algebra situation.- Elements of abstract Hardy algebra theory.- The abstract conjugation.- Analytic disks and isomorphisms with the unit disk situation.- Weak compactness of M.- Logmodular densities and small extensions.- Function algebras on compact planar sets.