Answers are grounded in this paper and cite their sources.
Using a property of the Hilbert transform, we prove a measure theoretic result concerning the extensions of atomic singular inner functions to the circle. Various alternative proofs are presented using the mean value theorem for harmonic functions and a well-known property of Blaschke products. Using the main result, we establish several facts concerning atomic singular inner functions and their logarithms.
No takes yet. Share an insight, caveat, or question.
Efraimidis et al. (2026) studied this question.
Synapse has enriched 8 closely related papers on similar clinical questions. Consider them for comparative context: