Carleman's Formulas in Complex Analysis: Theory and Applications

October 29, 2012|
Carleman's Formulas in Complex Analysis: Theory and Applications by L.A. Aizenberg
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Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional 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 sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is 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).
Title:Carleman's Formulas in Complex Analysis: Theory and ApplicationsFormat:PaperbackProduct dimensions:299 pages, 9.45 X 6.3 X 0 inShipping dimensions:299 pages, 9.45 X 6.3 X 0 inPublished:October 29, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401046956

ISBN - 13:9789401046954

Appropriate for ages: All ages

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