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Carlemans Formulas In Complex Analysis Theory And Applications Mathematics And Its Applications 244 Softcover Reprint Of The Original 1st Ed 1993 La Aizenberg

  • SKU: BELL-51196728
Carlemans Formulas In Complex Analysis Theory And Applications Mathematics And Its Applications 244 Softcover Reprint Of The Original 1st Ed 1993 La Aizenberg
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Carlemans Formulas In Complex Analysis Theory And Applications Mathematics And Its Applications 244 Softcover Reprint Of The Original 1st Ed 1993 La Aizenberg instant download after payment.

Publisher: Springer
File Extension: DJVU
File size: 2.73 MB
Pages: 319
Author: L.A. Aizenberg
ISBN: 9789401046954, 9401046956
Language: English
Year: 2012
Edition: Softcover reprint of the original 1st ed. 1993

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Carlemans Formulas In Complex Analysis Theory And Applications Mathematics And Its Applications 244 Softcover Reprint Of The Original 1st Ed 1993 La Aizenberg by L.a. Aizenberg 9789401046954, 9401046956 instant download after payment.

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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