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Carleman's Formulas in Complex Analysis: Theory and Applications 1993 Edition
Contributor(s): Aizenberg, L. a. (Author)
ISBN: 0792321219     ISBN-13: 9780792321217
Publisher: Springer
OUR PRICE:   $52.24  
Product Type: Hardcover - Other Formats
Published: January 1993
Qty:
Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
- Mathematics | Applied
- Technology & Engineering | Electronics - General
Dewey: 515
LCCN: 92043813
Series: Mathematics and Its Applications
Physical Information: 0.91" H x 6.52" W x 9.58" (1.44 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).