| Carleman's Formulas in Complex Analysis: Theory and Applications Softcover Repri Edition Contributor(s): Aizenberg, L. a. (Author) |
|
 |
ISBN: 9401046956 ISBN-13: 9789401046954 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Technology & Engineering | Electronics - General - Mathematics | Applied |
| Dewey: 515.9 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.67" H x 6.14" W x 9.21" (0.99 lbs) 299 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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). |