Carleman s Formulas in Complex Analysis: Theory and Applications (Mathematics and Its Applications (244))

Aizenberg, L.A.

ISBN 10: 0792321219 / ISBN 13: 9780792321217

Published by Springer, 1993

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Seller Inventory # ERICA77307923212196

Bibliographic Details

• Title: Carleman s Formulas in Complex Analysis: Theory and Applications (Mathematics and Its Applications (244))
• Publisher: Springer
• Publication Date: 1993
• Language: English
• ISBN 10: 0792321219
• ISBN 13: 9780792321217
• Binding: Hardcover
• Condition: Like New
• Book Type: book

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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).

Language Notes

Text: English
Original Language: Russian