Journal of Soviet Mathematics

, Volume 63, Issue 2, pp 115–129

Inner functions and related spaces of pseudocontinuable functions

  • A. B. Aleksandrov

DOI: 10.1007/BF01099304

Cite this article as:
Aleksandrov, A.B. J Math Sci (1993) 63: 115. doi:10.1007/BF01099304


Let θ be an inner function, let α ∈ C, ¦α¦=1. Then the harmonic function ℜ[(α+θ)]/(α−θ)] is the Poisson integral of a singular measureσα D. N. Clark's known theorem enables us to identify in a natural manner the space H2 ⊖ θH2 with the space L2α).

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© Plenum Publishing Corporation 1993

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  • A. B. Aleksandrov

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