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References
Cf. a forthcoming note by E. J. Akutowicz in Rend. Cir. Mat. Palermo.
L. Carleson, A representation formula for the Dirichlet integral. To appear in Math. Zeits.
Cf. L. Carleson, Sets of uniqueness for functions regular in the unit circle, Acta Math. 87 (1952) p. 336.
Cf. O. Lokki, Ueber analytische Funktionen, deren Dirichletintegral endlich ist und die in gegebenen Punkten vorgeschriebene Werte annehmen, Ann. Acad. Sci. Fennicae, No. 39 (1947), pp. 19–24.
An accessible proof of this theorem has been given by Y. Domar, On the existence of a largest subharmonic minorant of a given function, Arkiv för Matematik Band 3 nr 39 (1957).
L. Carleson, On bounded analytic functions and closure problems, Arkiv för Matematik, Band 3 nr 12 (1952), Theorem 7, p. 291.
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Akutowicz, E.J., Carleson, L. The analytic continuation of interpolatory functions. J. Anal. Math. 7, 223–247 (1959). https://doi.org/10.1007/BF02787687
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DOI: https://doi.org/10.1007/BF02787687