Carleman’s Formulas in Complex Analysis: Theory and Applications (Mathematics and Its Applications, Band 244) - Softcover

Aizenberg, L.A.

 
9789401046954: Carleman’s Formulas in Complex Analysis: Theory and Applications (Mathematics and Its Applications, Band 244)
Softcover
ISBN 10: 9401046956 ISBN 13: 9789401046954
Verlag: Springer, 2012

Inhaltsangabe

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).

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Verlag
Springer
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
9401046956
ISBN 13 
9789401046954
Einband
Taschenbuch
Anzahl der Seiten
320
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Vorgestellte Ausgabe

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Hardcover