Carleman's Formulas in Complex Analysis: Theory And Applications (Mathematics And Its Applications (Closed))

L.A. Aizenberg

ISBN 10: 9401046956 / ISBN 13: 9789401046954

Published by Springer 2013-12-31, 2013

About this Item

Seller Inventory # 6666-IUK-9789401046954

Bibliographic Details

• Title: Carleman's Formulas in Complex Analysis: Theory And Applications (Mathematics And Its Applications (Closed))
• Publisher: Springer 2013-12-31
• Publication Date: 2013
• Language: English
• ISBN 10: 9401046956
• ISBN 13: 9789401046954
• Binding: Paperback
• Condition: New

About this title

Synopsis

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).