Titlebook: Carleman’s Formulas in Complex Analysis; Theory and Applicati Lev Aizenberg Book 1993 Springer Science+Business Media Dordrecht 1993 Comple

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978-94-010-4695-4Springer Science+Business Media Dordrecht 1993

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Carleman Formulas and Related Problemsni formula for the case when M is an arc with ends on real axis. But if M = Γ is an arc in the unit disk with ends on the unit circle then we can give a simpler formula (see the beginning of example 3, sec. 1):

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to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1).978-94-010-4695-4978-94-011-1596-4

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Book 1993nsional com­ plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do­ main D a holomorphic function that is suffi