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Carleman's Formulas in Complex Analysis: Theory and Applications - Mathematics and Its Applications 244 (Paperback)
  • Carleman's Formulas in Complex Analysis: Theory and Applications - Mathematics and Its Applications 244 (Paperback)
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Carleman's Formulas in Complex Analysis: Theory and Applications - Mathematics and Its Applications 244 (Paperback)

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£69.99
Paperback 299 Pages / Published: 29/10/2012
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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).

Publisher: Springer
ISBN: 9789401046954
Number of pages: 299
Weight: 513 g
Dimensions: 240 x 160 x 17 mm
Edition: Softcover reprint of the original 1st ed. 199

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